In the light of ?-mapping topological current theory, the structure of cosmic strings are obtained from the Abelian Higgs model, which is an effective description to the brane world cosmic string system. In this topological description of the cosmic string, combining the result of decomposition ...
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We study the geodesic equation in the space-time of an Abelian-Higgs string and discuss the motion of massless and massive test particles. The geodesics can be classified according to the particle�s energy, angular momentum and linear momentum along the string axis. We observe that bound orbits of massive particles are only possible if the Higgs boson ...
Superstring theory predicts the potential formation of string networks with junctions. Kinematic constraints for junction formation were derived in [1], based on Nambu-Goto action. Here we test these constraints numerically within the framework of Abelian-Higgs model and report on good agreement with the analytical predictions.
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Cylindrically symmetric solutions in conformal gravity are investigated and several new solutions are presented and discussed, among them a family of vacuum solutions, generalizations of the Melvin solution, and cosmic strings of the Abelian Higgs model. The Melvin-like solutions have finite energy per unit length, while the stringlike ...
The dual transformation discovered in the two-dimensional Ising and planar Heisenberg models is applied to gauge theories in four dimensions. It is shown that after the dual transformation the Abelian Higgs model gives the same partition function as the relativistic hydrodynamics of Kalb and Ramond and of Nambu coupled to the Higgs ...
Abelian lattice gauge theories coupled to Higgs's fields in the fundamental representation of the gauge group are studied with reference to phase transitions at extreme values of the gauge coupling. The scalar fields are allowed to vary radially and this ...
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Presented is a detailed study of chiral-symmetry breaking in the semiclassical approximation of the two-dimensional Abelian Higgs model with massless fermions. Emphasis is on examining the consistency of the dynamical symmetry-breaking mechanism with the requirements of gauge invariance.
When gauged cosmic strings form in a symmetry-breaking phase transition, the gauge field configuration at the time becomes imprinted in the spatial string distribution by the flux trapping mechanism. Causality and flux conservation suggest that quantum and thermal gauge field fluctuations give rise to long-range super-horizon correlations in the string network. Classical field ...
We reexamine the constraints on the cosmic string tension from cosmic microwave background (CMB) and matter power spectra, and also from limits on a stochastic background of gravitational waves provided by pulsar timing. We discuss the different approaches to modeling string evolution and radiation. In particular, we show that the unconnected segment model ...
The thesis deals with the theory of non-Abelian vortices in two spatial dimensions and cosmic strings in three spatial dimensions that arise when a non-Abelian gauge symmetry G is broken to a non-Abelian unbroken symmetry group H by the condensation of a Higgs field. The first part of the ...
The chaotic property in the Abelian-Higgs theory is numerically studied for the Nielsen-Olesen vortex solution at a critical coupling constant. Based on the analyses on the induction period necessary to the onset of chaos and the maximal Lyapunov exponents of fields, it is shown that the vortex solution exhibits a multiple order-to-chaos transition. This phenomenon is a very ...
The spectrum of (p,q) bound states of F- and D-strings has a distinctive square-root tension formula that is hoped to be a hallmark of fundamental cosmic strings. We point out that the Bogomol'nyi-Prasad-Sommerfield (BPS) bound for vortices in N=2 supersymmetric Abelian-Higgs models also takes the square-root form. In contrast to string theory, ...
The spectrum of (p, q) bound states of F- and D-strings has a distinctive square-root tension formula that is hoped to be a hallmark of fundamental cosmic strings. We point out that the BPS bound for vortices in N = 2 supersymmetric Abelian-Higgs models also takes the square-root form. In contrast to string theory, the most general supersymmetric field ...
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In the absence of low-energy supersymmetry, a multiplicity of weak-scale Higgs doublets would require additional fine-tunings unless they formed an irreducible multiplet of a non-Abelian symmetry. Remnants of such symmetry typically render some Higgs fields stable, giving several dark matter particles of various masses. The ...
Flat directions are a generic feature of the scalar potential in supersymmetric gauge field theories. They can arise, for example, from D-terms associated with an extra Abelian gauge symmetry. Even when supersymmetry is broken softly, there often remain directions in the scalar field space along which the potential is almost flat. Upon breaking a gauge symmetry along one of ...
I argue that coupling the Abelian Higgs model to gravity plus a negative cosmological constant leads to black holes which spontaneously break the gauge invariance via a charged scalar condensate slightly outside their horizon. This suggests that black holes can superconduct.
We present the first calculation of the possible (local) cosmic string contribution to the cosmic microwave background polarization spectra from simulations of a string network (rather than a stochastic collection of unconnected string segments). We use field-theory simulations of the Abelian Higgs model to ...
We study an Abelian Higgs model coupled to a background metric. We find Bogomol'nyi equations when the coupling is achieved through an R(phi)(sup 2) term (R being the scalar curvature and (phi) the Higgs scalar). Remarkably, these equations coincide with ...
By imposing self-duality conditions, we obtain the explicit form in which gauge theories spontaneously breakdown in the Bogomol'nyi. In this context, we reconsider the Abelian Higgs and Maxwell-Chern-Simons Higgs models. On the same footing, we find a top...
In this article we present new, genuinely non-Abelian vortex solutions in SU(2) Yang-Mills-Higgs theory with only one isovector scalar field. These non-Abelian solutions branch off their Abelian counterparts (Abrikosov-Nielsen-Olesen vortices) for precise values of the Higgs potential coupling ...
We study the dual Higgs theory for the confinement mechanism based on Quantum Chromodynamics (QCD) in the �t Hooft abelian gauge. In the abelian gauge, QCD is reduced into an abelian gauge theory including color-magnetic monopoles, which appear corresponding to the nontrivial homotopy group ?2(SU(Nc)/U(1) Nc?1) ...
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We present a hidden Abelian extension of the standard model including a complex scalar as a dark matter candidate and a light scalar acting as a long range force carrier between dark matter particles. The Sommerfeld enhanced annihilation cross section of the dark matter explains the observed cosmic ray excesses. The light scalar field also gives rise to ...
It is shown that the SU(2) semilocal model--the Abelian Higgs model with two complex scalars--admits a new class of stationary, straight string solutions carrying a persistent current and having finite energy per unit length. In the plane orthogonal to their direction they correspond to a nontrivial deformation of the embedded Abrikosov-Nielsen-Olesen ...
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Superstring theory predicts the potential formation of string networks with bound states ending in junctions. Kinematic constraints for junction formation have been derived within the Nambu-Goto thin string approximation. Here we test these constraints numerically in the framework of the Abelian-Higgs model in the Type-I regime and report on good agreement with the analytical ...
We construct a model of decaying, TeV-scale scalar dark matter motivated by data from the PAMELA and Fermi-LAT experiments. By introducing an appropriate Abelian discrete symmetry and an intermediate scale of vectorlike states that are responsible for generating lepton Yukawa couplings, we show that Planck-suppressed corrections may lead to decaying dark matter that is ...
We considered the behavior of Dirac fermion modes in the background of a Euclidean dilaton black hole with an Abelian Higgs vortex passing through it. Fermions were coupled to the fields due to the superconducting string model. The case of nonextremal and extremal charged black holes in the theory with an arbitrary coupling constant between the dilaton ...
We extend all known black-hole no-hair theorems to space-times endowed with a positive cosmological constant Lambda. Specifically, we prove that static spherical black holes with Lambda > 0 cannot support scalar fields in convex potentials and Proca-massive vector fields in the region between the black hole and the cosmic horizon. We also demonstrate the existence of at ...
(p,q)-strings are bound states of p F-strings and q D-strings and are predicted to form at the end of brane inflation. As such, these cosmic superstrings should be detectable in the Universe. In this paper we argue that they can be detected by the way that massive and massless test particles move in the space-time of these cosmic superstrings. In ...
We use the moduli matrix approach to study the moduli space of 1/4 BPS kinks supported by vortices in the Higgs phase of N=2 supersymmetric U(N) gauge theories when non-zero masses for the matter hypermultiplets are introduced. We focus on the case of degenerate masses. In these special cases vortices acquire new orientational degrees of freedom, and become ...
We develop an approach to the dilute-instanton-gas approximation for the Abelian Higgs model when massless fermions are present. We discuss the properties of the resulting partition function and evaluate fermionic correlation functions which become nontrivial when topological sectors are taken into account.
We calculate the Kaehler potential for the Samols metric on the moduli space of Abelian Higgs vortices on R{sub 2}, in two different ways. The first uses a scaling argument. The second depends on a variant of the relationship between accessory parameters and the regularized action in Liouville field theory. The Kaehler potential on the moduli space of ...
We consider the lattice Abelian Higgs model with frozen radial degrees of freedom using the mean-field approximation with corrections. The free energy corrections contain essential 0(1) and 0(1/d) terms. In the weak coupling region the behaviour of the fr...
We re-examine the work of Antoniadis et al.[1] on the apparent gauge-parameter dependence of the mass counterterm for a scalar field coupled to gravity and show that the same effect appears in a spontaneously broken abelian Higgs model. In both cases the Nielsen identities assure the gauge-parameter independence of the pole masses. Laboratoire associ� ...
We present a significant improvement over our previous calculations of the cosmic string contribution to cosmic microwave background (CMB) power spectra, with particular focus on sub-WMAP angular scales. These smaller scales are relevant for the now-operational Planck satellite and additional suborbital CMB projects that have even finer resolutions. We ...
We find new non-Abelian flux tube solutions in a model of N{sub f} scalar fields in the fundamental representation of SU(N)xU(1) with N{<=}N{sub f} (the 'extended non-Abelian Higgs model'), and study their main properties. Among the solutions there are spinning strings as well as superconducting ones. The ...
In this work we derive nonsingular BPS string solutions from an action that captures the essential features of a D-brane-anti-D-brane system compactified to four dimensions. The model we consider is a supersymmetric Abelian Higgs model with a D-term potential coupled to an axion-dilaton multiplet. The strings in question are axionic D-term strings which we ...
We study the phase structure of the three-dimensional (3D) nonlocal compact U(1) lattice gauge theory coupled with a Higgs field by Monte Carlo simulations. The nonlocal interactions among gauge variables are along the temporal direction and mimic the effect of local coupling to massless particles. In contrast to the 3D local Abelian-Higgs model having ...
We discuss an asymptotically non-free, natural model for dynamical electroweak symmetry breaking characterized by the emergence of a weakly coupled Higgs in the IR regime. Due to the large anomalous dimension of the Higgs operator, the model is capable of solving the hierarchy problem without losing the phenomenologically appealing features typical of ...
>It is argued that gauge theories with the Higgs-Kibble mechanism do not involve the spontaneous breaking of physical symmetries. The relationships between masses and coupling constants, usually considered a manifestation of the remnant of the symmetry, can be obtained, at least in the Abelian-Higgs model, directly from renormalizability and ...
It is shown that realistic models can be constructed in which the standard model Higgs field is in a nontrivial multiplet of a non-Abelian family group of the quarks and leptons. It is shown that the observed quark and lepton masses and mixing angles can be fit, while the coefficients of flavor-changing four-fermion operators mediated by the extra ...
For some spontaneously broken non-Abelian gauge theories with Higgs scalars we show that the symmetry is dynamically broken, i.e., the asymmetric bare-mass terms become zero in the limit of infinite cutoff. Also, Higgs scalars satisfy the compositeness criteria in terms of renormalization constants. (AIP)
Reanalyses of LEP data have shown preference to two light CP-even Higgs bosons. We discuss implications of such a Higgs boson spectrum for the minimal supersymmetric model extended by a standard model singlet chiral superfield and an additional Abelian gauge invariance [the U(1){sup '} model]. We, in particular, determine ...
Reanalyses of LEP data have shown preference to two light CP-even Higgs bosons. We discuss implications of such a Higgs boson spectrum for the minimal supersymmetric model extended by a standard model singlet chiral superfield and an additional Abelian gauge invariance [the U(1)' model]. We, in particular, determine parameter regions ...
We report the first observation of multiple intercommutation (more than two successive reconnections) of Abelian Higgs cosmic strings at ultrahigh collision speeds, and the formation of "kink trains" with up to four closely spaced left- or right-moving kinks, in the deep type-II regime 16 ? ? ? 64 (where ?=m(scalar)2/m(gauge)2). The ...
We report the first observation of multiple intercommutation (more than two successive reconnections) of Abelian Higgs cosmic strings at ultrahigh collision speeds, and the formation of �kink trains� with up to four closely spaced left- or right-moving kinks, in the deep type-II regime 16???64 (where ?=mscalar2/mgauge2). The ...
Based on the Riemannian geometric approach, we study chaos of the Abelian-Higgs dynamical system derived from a classical field equation consisting of a spatially homogeneous Abelian gauge field and Higgs field. Using the global indicator of chaos formulated by the sectional curvature of the ambient manifold, we show that this approach ...
We give an overview of the work of Corlette, Donaldson, Hitchin and Simpson leading to the non-abelian Hodge theory correspondence between representations of the fundamental group of a surface (a surface group) and the moduli space of Higgs bundles. We then explain how this can be generalized to a correspondence between character varieties for ...
this paper we restrict ourselves to small values of (0:05; 0:1; 0:2). We also assume that q=m = 1. This does not limit the generality of our considerations since it can be achieved by rescaling the eld A.
It is shown that the conserved magnetic and electric charges in non-Abelian theories have nothing to do with the Higgs scalars and/or the symmetry structure of the Lagrangian. They are a consequence of the local isospin gauge symmetry. Several exact stati...
We review recent works on statics and dynamics of magnetic vortices in the Ginzburg-Landau model of superconductivity and of Nielsen-Olesen (Nambu) strings in the Abelian-Higgs model of particle physics.
I obtain semilocal, self-dual topological as well as nontopological Chern-Simons vortices in an Abelian Higgs model with SU(2){sub global}{direct product}U(1){sub local} symmetry.
We put the Georgi-Glashow model on a lattice, and use Monte Carlo techniques to investigate the quantum physics of its monopoles. For appropriate bare couplings the monopoles are stable (suggesting that theories in which the Higgs scalars are composite wi...
We consider the possibility that the gauge theory of quarks and gluons is realized as that of baryons and vector baryoniums. The discussion relies on the following two assumptions: (1) the confined and Higgs phases of certain non-Abelian gauge theories ar...
The dynamics of spontaneous symmetry breaking of the four-fermion theory with (V-A)-interaction is investigated. In the mean-field approximation the four-fermion (V-A)-theory is shown to have all the features of the Abelian model with spontaneous symmetry...
We use the duality between the Abelian Higgs model and pure U(1) lattice gauge theory to estimate the ratio ..sqrt..2 kappa equivalent lambda/xi of penetration depth and coherence length at the tricritical point to be ..sqrt..2 kappa roughly-equal 0.93, thus placing the tricritical point slightly on the type-I side of the borderline between type-I and ...
We choose a special ansatz for the gauge potentials which corresponds to Witten's ansatz; however, it involves the 5-plet of an SU(2) subalgebra instead of the 3-plet. Among the set of solutions, admitted by our ansatz, only the vacuum with vanishing field strength is self-dual. However, the action and the field equations are, except for one constant factor, equal to Witten's ...
We explore the low-temperature behavior of the Abelian Higgs model in AdS4, away from the probe limit in which back-reaction of matter fields on the metric can be neglected. Over a significant range of charges for the complex scalar, we observe a second order phase transition at finite temperature. The symmetry-breaking states are superconducting black ...
The Gaussian effective potential is derived for the non-Abelian SU(2)xU(1) gauge theory of electroweak interactions. At variance with naive derivations, the Gaussian effective potential is proven to be a genuine variational tool in any gauge. The role of ghosts is discussed and the unitarity gauge is shown to be the only choice which allows calculability without insertion of ...
Analytic and numerical studies of the lattice gauge theories with both Higgs and fermion fields are reported. A chiral transition is found in a wide class of such theories, both abelian and non-abelian. This transition separates each phase diagram into two regions, one with spontaneous chiral symmetry breaking and the other with ...
Dark strings have recently been suggested to exist in new models of dark matter that explain the excessive electronic production in the Galaxy. We study the interaction of these dark strings with semilocal strings which are solutions of the bosonic sector of the standard model in the limitsin{sup 2}{theta}{sub w}=1, where {theta}{sub w} is the Weinberg angle. While embedded ...
Dark strings have recently been suggested to exist in new models of dark matter that explain the excessive electronic production in the Galaxy. We study the interaction of these dark strings with semilocal strings which are solutions of the bosonic sector of the standard model in the limitsin?2?w=1, where ?w is the Weinberg angle. While embedded Abelian-Higgs strings exist for ...
We study static spherically symmetric solutions of non-Abelian gauge theory coupled to conformal gravity. We find solutions for the self-gravitating pure Yang-Mills case as well as monopolelike solutions of the Higgs system. The former are localized enough to have finite mass and approach asymptotically the vacuum geometry of conformal gravity, while the ...
We consider a nonlinear O(3) model in 2+1 dimensions minimally coupled to Chern-Simons gauge fields. All the static, finite energy, regular solutions of the model are discussed. Through a suitable reduction of the gauge group, the given solutions are mapped into an Abelian purely magnetic vortex. A two-dimensional Euclidean action reproducing such a vortex is also obtained, ...
For both Abelian and non-Abelian gauge theories, we find gauge transformations which map fields in the U gauge to other fields in the U gauge. These transformations are not contained in the surviving gauge symmetry after spontaneous breaking (defined as the little group of the vacuum expectation value of the Higgs field). They have ...
We show that local and semilocal strings in Abelian and non-Abelian gauge theories with critical couplings always reconnect classically in collision, by using moduli space approximation. The moduli matrix formalism explicitly identifies a well-defined set of the vortex moduli parameters. Our analysis of generic geodesic motion in terms of those shows ...
We examine current-carrying configurations of cosmic strings in non-Abelian gauge theories. We study the solutions numerically and point out that the currents will be at best {ital dynamically} stable and not subject to any topological quantization or conservation, as in conventional models of string superconduction. We suggest that ...
We examine current-carrying configurations of cosmic strings in non-Abelian gauge theories. We study the solutions numerically and point out that the currents will be at best dynamically stable and not subject to any topological quantization or conservation, as in conventional models of string superconduction. We suggest that ...
We consider the minimal model in which dark matter is stabilized by a non-Abelian discrete symmetry. The symmetry group is taken to be D?S, which is the smallest non-Abelian finite group. The minimal model contains (nontrivial) singlet and doublet scalar representations of D which couple to the Standard Model fields via the Higgs ...
Scenarios with hidden, spontaneously broken, non-abelian gauge groups contain a natural dark matter candidate, the hidden vector, whose longevity is due to an accidental custodial symmetry in the renormalizable Lagrangian. Nevertheless, non-renormalizable dimension six operators break the custodial symmetry and induce the decay of the dark matter particle at cosmological ...
Primordial gravitational waves provide a very important stochastic background that could be detected soon with interferometric gravitational wave antennas or indirectly via the induced patterns in the polarization anisotropies of the cosmic microwave background. The detection of these waves will open a new window into the early Universe, and therefore it is important to ...
We study the phase structure of a three-dimensional (3D) Abelian Higgs model with singly and doubly charged scalar fields coupled to a compact Abelian gauge field. The model is pretending to describe systems of strongly correlated electrons such as high-T{sub c} superconductivity in overdoped regime and exotic phases supporting ...
A non-Abelian gauge theory involving scalar fields with non-tachyonic mass terms in the Lagrangian is considered, in order to construct a finite energy density trial vacuum for this theory. The usual scalar potential arguments suggest that the vacuum of such a theory would be in the perturbative phase. However, the obvious choices for a vacuum in this phase, the Axial gauge ...
We classify all possible implementations of an Abelian symmetry in the two-Higgs-doublet model with fermions. We identify those symmetries which are consistent with nonvanishing quark masses and a Cabibbo-Kobayashi-Maskawa quark-mixing matrix (CKM), which is not block-diagonal. Our analysis takes us from a plethora of possibilities down to 246 relevant ...
A string model for the short range interactions of vortices in the Goldstone and Abelian Higgs theory is presented. It is applied to the scattering of parallel vortices with a small impact parameter and reproduces the right-angle scattering accompanied by the occurrence of a superluminal velocity of the zeros of the Higgs field. The ...
This paper studies the vacuum overlap order parameter proposed by Fredenhagen and Marcu in the case of the compact U(1) gauge model with the Wilson action coupled to a Higgs field with fixed length |?|=1. The existence of two distinct phases in D space-time dimensions ( D?4) is established.
We discuss the properties of semilocal strings minimally coupled to gravity. Semilocal strings are solutions of the bosonic sector of the Standard Model in the limit sin2 ?W = 1 (where ?W is the Weinberg angle) and correspond to embedded Abelian-Higgs strings for a particular choice of the scalar doublet. We focus on the limit where the gauge boson mass is equal to the ...
We study the Cauchy problem for Abelian Yang--Mills--Higgs theory in (2+1)-dimensional Minkowski space-time. With suitable conditions on the background fields and a suitable choice of a Sobolev space for the subtracted gauge potentials and the Higgs field, we establish local existence. We then prove global existence by showing that an ...
demonstrate the Abelian Higgs #12;eld equations in the background of four dimensional Kerr, Kerr-AdS and Reissner-Nordstrom- Higgs #12;eld equations in the four dimensional rotating Kerr-AdS and Reissner-Nordstrom-AdS black hole#12;rm by numerical calculation that Kerr-AdS and Reissner-Nordstrom- AdS black holes could support
In this work we investigate how magnetic fields may have been formed during the electroweak phase transition. Magnetic fields on the order of 10 m G have been observed in many galaxies and galactic clusters, and while their exact origin is unknown it is commonly believed that they may have arisen from primordial seed fields created during the early universe. Earlier works investigated the ...
We present a numerical investigation of the dynamics of symmetry breaking in both Abelian and non-Abelian [SU(2)] Higgs models in three spatial dimensions. We find a class of time-dependent, long-lived nonperturbative field configurations within the range of parameters corresponding to type-1 superconductors, that is, with vector ...
We analyze the Hamiltonian time evolution of classical SU(2) Yang-Mills-Higgs theory with a fundamental Higgs doublet on a spacial lattice. In particular, we study energy transfer and equilibration processes among the gauge and Higgs sectors, calculate the maximal Lyapunov exponents under randomized initial conditions in the ...
In cases of both Abelian and non-Abelian gauge groups, we study the Higgs mechanism in the topologically massive gauge theories in an arbitrary space-time dimension. We show that when the conventional Higgs potential coexists with a topological term, gauge fields become massive by ``eating'' simultaneously both the ...
We consider the creation of non-zero Chern-Simons number in a model of the early Universe, where the Higgs field experiences a fast quench at the end of inflation. We perform numerical lattice simulations in the Abelian Higgs model in 1+1 dimensions and in the SU(2)-Higgs model in 3+1 dimensions with an added ...
We derive general expressions for the K�hler form of the L2-metric in terms of standard 2-forms on vortex moduli spaces. In the case of abelian vortices in gauged linear sigma-models, this allows us to compute explicitly the K�hler class of the L2-metric. As an application we compute the total volume of the moduli space of abelian semi-local vortices. ...
General Relativity and Standard Model are considered as a theory of dynamical scale symmetry with definite initial data compatible with the accepted Higgs mechanism. In this theory the Early Universe behaves like a factory of electroweak bosons and Higgs scalars, and it gives a possibility to identify three peaks in the Cosmic ...
mass higgs bosons from cosmic string processes in at-potential supersymmetric models 31 . Of course, there may be other unknown possibilities as well. ...
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String theory constructions using D-brane physics offer a framework where ingredients like extra abelian factors in the gauge group, more than one Higgs doublet and a generalized Green-Schwarz mechanism appear at the same time. Motivated by works towards the direction of obtaining the Standard Model in orientifold constructions, we study in the present ...
The fluctuation determinant, the preexponential factor for the instanton transition, has been computed several years ago in the Abelian Higgs model, using a method based on integrating the Euclidean Green' function. A more elegant method for computing functional determinants, using the Gel'fand-Yaglom theorem, has been applied recently to a variety of ...
The fluctuation determinant, the preexponential factor for the instanton transition, has been computed several years ago in the Abelian Higgs model, using a method based on integrating the Euclidean Green's function. A more elegant method for computing functional determinants, using the Gel'fand-Yaglom theorem, has been applied recently ...
We study the generic intersection (or web) of vortices with instantons inside, which is a 1/4 Bogomol�nyi-Prasad-Sommerfield state in the Higgs phase of five-dimensional N=1 supersymmetric U(NC) gauge theory on Rt�(C*)2?R2,1�T2 with NF=NC Higgs scalars in the fundamental representation. In the case of the Abelian-Higgs model ...
We study generic intersection (or web) of vortices with instantons inside, which is a 1/4 BPS state in the Higgs phase of five-dimensional N=1 supersymmetric U(Nc) gauge theory on R_t \\times (C^\\ast)^2 \\simeq R^{2,1} \\times T^2 with Nf=Nc Higgs scalars in the fundamental representation. In the case of the Abelian-Higgs model ...
We study the parity-odd part of the gauge field two-point function in the effective action in three-dimensional non-Abelian gauge theory with both Higgs fields and the Chern-Simons term. It is shown that, contrary to a previous proposal, there is no hint of spontaneous parity breakdown up to one-loop level, if care is taken to turn off the Chern-Simons ...
The properties of BPS monopoles carrying nonabelian magnetic charges are investigated by following the behavior of the moduli space of solutions as the Higgs field is varied from a value giving a purely abelian symmetry breaking to one that leaves a nonabelian subgroup of the gauge symmetry unbroken. As the limit of nonabelian unbroken symmetry is reached, ...
We construct new exact solution of the SU(2) Yang-Mills-Higgs model by considering Abelian decomposition of the gauge potential. The solution is obtained by considering only the restricted part of the decomposition, where the unrestricted valence part is switched off. The solutions possess free parameters c1, c2 and q that correspond to different physical ...
We study pure Yang-Mills theory on ? � S2, where ? is a compact Riemann surface, and invariance is assumed under rotations of S2. It is well known that the self-duality equations in this setup reduce to vortex equations on ?. If the Yang-Mills gauge group is SU(2), the Bogomolny vortex equations of the Abelian Higgs model are obtained. For larger gauge ...
This article is devoted to the perturbative renormalization of the abelian Higgs-Kibble model, within the class of renormalizable gauges which are odd under charge conjugation. The Bogoliubov Parasiuk Hepp-Zimmermann renormalization scheme is used throughout, including the renormalized action principle proved by Lowenstein and Lam. The whole study is based ...
This article is devoted to the perturbative renormalization of the abelian Higgs-Kibble model, within the class of renormalizable gauges which are odd under charge conjugation. The Bogoliubov Parasiuk Hepp-Zimmermann renormalization scheme is used throughout, including the renormalized action principle proved by Lowenstein and Lam. The whole ...
We show that the neutrino models, as suggested by Low 1, which have an additional Abelian family symmetry and a real Higgs singlet to the default see-saw do not hinder the possibility of successful thermal leptogenesis. For these models (neglecting radiative effects), we have investigated the situation of strong washout in both the one-flavor approximation ...
The existence of maximal and minimal mixing angles in the neutrino mixing matrix motivates the search for extensions to the standard model that may explain these angles. A previous study [C. I. Low and R. R. Volkas, Phys. Rev. D 68,, 033007 (2003)], began a systematic search to find the minimal extension to the standard model that explains these mixing angles. It was found that in the minimal ...
I construct predictive models of neutrino mass and mixing that have fewer parameters, both in the lepton sector and overall, than the default seesaw model. The predictions are {theta}{sub 13}=0 and one massless neutrino, with the models having a Z{sub 4} or Z{sub 2} symmetry and just one extra degree of freedom: one real singlet Higgs field. It has been shown that models with ...
The properties and interactions of gauge vortices are discussed in a variety of contexts. When quarks and leptons propagate in the background of a grand unified cosmic string, various baryon number violating processes can occur. We argue that, because of the pure gauge field that surrounds the string, the cross-sections for these processes are generically enhanced by large ...
We study the effect of a Chern-Simons (CS) term in the phase structure of two different Abelian gauge theories. For the compact Maxwell-Chern-Simons theory, with the CS term properly defined, we obtain that for values g = n/2? of the CS coupling with n = �1, �2, the theory is equivalent to a gas of closed loops with contact interaction, exhibiting a phase transition in the ...
We investigate the transmutation of D-branes into Abelian magnetic backgrounds on the world-volume of higher-dimensional branes, within the framework of global models with compact internal dimensions. The phenomenon, T-dual to brane recombination in the intersecting-brane picture, shares some similarities to inverse small-instanton transitions in non-compact spaces, though in ...
We investigate the implications of the nontrivial vacuum structure of little Higgs models. In particular, focusing on the littlest Higgs model, we demonstrate the existence of three types of topological defects. One is a global cosmic string that is truly topological. The second is more subtle; a semilocal cosmic ...
We show that the field equations for static solutions containing an extreme type of black hole imply severe conditions on the boundary values of all fields at the internal infinity of the holes. These conditions have the form of an overdetermined, nonlinear elliptic system of differential equations on a two-dimensional compact manifold. We simplify the system using positivity of some of its ...
It is shown that Abelian Higgs vortices on a hyperbolic surface M can be constructed geometrically from holomorphic maps f: M ? N, where N is also a hyperbolic surface. The fields depend on f and on the metrics of M and N. The vortex centres are the ramification points, where the derivative of f vanishes. The magnitude of the Higgs ...
We consider a generalized Abelian Higgs model that was recently investigated in the literature. We explicitly show that the self-dual equations solve the corresponding equations of motion. In addition, in the specific case that reproduces the self-dual equations one finds in the Chern-Simons system, we show that the vorticity {ital n} and {ital n}{sup 2} ...
We study Einstein-Yang-Mills equations in the presence of a gravitating nontopological soliton field configuration consisting of a Higgs doublet, in Brans-Dicke and general scalar-tensor gravitational theories. The results of General Relativity are reproduced in the {omega}{sub BD},{omega}{sub 0}{yields}{infinity} limit. The numerical solutions correspond to a soliton star ...
A non-Abelian generalization of the neutral Witten current-carrying string model is discussed in which the bosonic current carrier belongs to a two-dimensional representation of SU(2). We find that the current-carrying solutions can be of three different kinds: either the current spans a U(1) subgroup, and in which case one is left with an Abelian ...
In chapter 1, we give an introduction to this thesis. Through this introduction, we present a literature review on the three topics, the vector condensation and its applications, the derivative expansion and renormalization group equation, and the neutrino in cosmology, that are studied in this thesis. In chapters 2 and 3, we study the gluonic condensation in non-Abelian gauge ...
We investigate the microphysics of cosmic strings in non-Abelian gauge theories with N=1 supersymmetry. We give the vortex solutions in a specific example and demonstrate that fermionic superconductivity arises because of the couplings and interactions dictated by supersymmetry. We then use supersymmetry transformations to obtain the relevant fermionic ...
If neutrino tribimaximal mixing is explained by a non-Abelian discrete symmetry such as A4, T7, ?(27), etc., the charged-lepton Higgs sector has a Z3 residual symmetry (lepton flavor triality), which may be observed directly in the decay chain H0??20?�20, then ?20(?�20)?li+lj-(i?j), where H0 is a standard-model�like Higgs boson ...
We consider the creation of non-zero Chern-Simons number in a model of the early Universe, where the Higgs field experiences a fast quench at the end of inflation and subsequently rolls down its potential barrier. Neglecting the expansion, we perform numerical lattice simulations in the Abelian Higgs model in 1+1 dimensions with an ...
It is shown that the conserved magnetic and electric charges in non- Abelian theories have nothing to do with the Higgs scalars and/or the symmetry structure of the Lagrangian. They are a consequence of the local isospin gauge symmetry. Several exact static dyon solutions to the nonlinear classical field equations are presented in both massless ...
The finite temperature effective potential of the Abelian Higgs model is studied using the self-consistent composite operator method, which can be used to sum up the contributions of daisy and superdaisy diagrams. The effect of the momentum dependence of the effective masses is estimated by using a Rayleigh-Ritz variational approximation.
Exact static solutions of the Abelian Higgs model are given in the limit when the parameter lambda, which measures the relative strength of scalar self-coupling and electromagnetic coupling, is made infinite (extreme type-II behavior). The solutions describe parallel or antiparallel vortices. A finite effective potential for an arbitrary system of parallel ...
Constraints on the theoretical interpretation of the 17 keV neutrino are reviewed. A simple understanding of the 17 keV neutrino is provided by flavon models, which involve the spontaneous breaking of Abelian lepton symmetries and have only the usual three light neutrino species. Signatures for this class of models include neutrino oscillations, tau decay to an electron and a ...
A spherically symmetric monopole solution is found in SO(5) gauge theory with Higgs scalar fields in the vector representation in six-dimensional Minkowski spacetime. The action of the Yang-Mills fields is quartic in field strengths. The solution saturates the Bogomolny bound and is stable.
We correct two errors in our previous computation of one-loop corrections to the vortex string tension: (i) the contribution of the longitudinal and timelike modes of the gauge fields were forgotten and are included now; (ii) a trivial error in the numerical code has led to considerable errors in the subtracted integrals. We here present the corrected results.
The duality transformation of the vacuum expectation value of the operator which creates magnetic vortices (the 't Hooft loop operator in the Higgs phase) is performed in the radial gauge (xsub( mu )Asub( mu )sup(a)(x)=0). It is found that in the weak cou...
The authors consider ..gamma../sub 5/ version of Abelian Higgs model in 1 + 1 dimensions and find one loop expression for the rate of fermion number non-conservation at high temperatures. They discuss the construction of the noncontractible loop in the configuration space and an analog of the sphaleron solution in the theory.
I show that the Wilson loop operator for the SU(N) Yang-Mills gauge connection is exactly rewritten in terms of conserved gauge-invariant magnetic and electric currents through a non-Abelian Stokes theorem of the Diakonov-Petrov type. Here the magnetic current originates from the magnetic monopole derived in the gauge-invariant way from the pure Yang-Mills theory even in the ...
The Lee-Wick (LW) standard model (SM) offers a new solution to the hierarchy problem. We discuss, using effective potential techniques, its peculiar UV behavior. We show how quadratic divergences in the Higgs mass Mh cancel as a result of the unusual dependence of LW fields on the Higgs background (in a manner reminiscent of little Higgses). We then ...
Magnetic monopoles in Yang-Mills-Higgs theory with a non-abelian unbroken gauge group are classified by holomorphic charges in addition to the topological charges familiar from the abelian case. As a result the moduli spaces of monopoles of given topological charge are stratified according to the holomorphic charges. Here the physical ...
Majorana fermions lie at the heart of a number of recent developments in condensed matter physics. One important application is the realization of non-abelian statistics and consequently a foundation for topological quantum computation. Theoretical propositions for Majorana systems abound, but experimental detection has proven challenging. Most attempts involve interferometry, ...
We calculate the cosmic ray positron and antiproton spectra of a gauge-Higgs dark matter candidate in a warped five-dimensional SO(5) � U(1) gauge-Higgs unification model. The stability of the gauge-Higgs boson is guaranteed by the H parity under which only the Higgs boson is odd at low ...
... to lower limits of 11.8, 7.9, 2.6 keV for DW, SF, and Higgs decay produced ... of the unresolved cosmic X-ray background combined with models of the ...
DTIC Science & Technology
After some philosophical remarks concerning the development of theoretical physics in this century a short introduction to non-Abelian gauge theory is given. If consideration is given to the case where the local gauge group is SU(N) it is found that gauge-invariant definitions can be given of the concepts of electric and magnetic flux. Both are quantized and conserved modulo ...
If the standard model of particle interactions is extended to include a neutral SU(2 gauge factor, with SU(3�SU(2�U(1�SU(2 embedded in E or [SU, a conserved generalized R parity may appear. As a result, apart from the recent postulate of a separate non-Abelian gauge factor in the hidden sector, we have the first example of a possible dark-matter candidate X which is a ...
We investigate the ground states of the Abelian Higgs model in AdS{sub 4} with various choices of parameters, and with no deformations in the ultraviolet other than a chemical potential for the electric charge under the Abelian gauge field. For W-shaped potentials with symmetry-breaking minima, an analysis of infrared asymptotics ...
We investigate the ground states of the Abelian Higgs model in AdS4 with various choices of parameters, and with no deformations in the ultraviolet other than a chemical potential for the electric charge under the Abelian gauge field. For W-shaped potentials with symmetry-breaking minima, an analysis of infrared asymptotics suggests ...
We investigate flavor violation mediated by Higgs bosons and supersymmetric particles in a predictive class of models based on the non-Abelian flavor symmetry Q{sub 6}. These models, which aim to reduce the number of parameters of the fermion sector and to solve the flavor changing problems of generic supersymmetry (SUSY) setup, assume three families of ...
We propose a dark matter candidate within the class of models where electroweak symmetry breaking is triggered by a light composite Higgs boson. In these dual anti-de Sitter/conformal field theory models, the Higgs boson emerges as a holographic pseudo-Goldstone boson, while dark matter can be identified with a stable composite fermion X0. The effective ...
Using the Abelian Higgs model, we study the radial excitations of single vortex and their propagation modes along the vortex line. We call such beyond-stringy modes peristaltic modes of single vortex. With the profile of the static vortex, we derive the vortex-induced potential, i.e., single-particle potential for the Higgs and the ...
We calculate the flux of cosmic positrons from the dark matter annihilation in the littlest Higgs model with T parity. The dark matter annihilates mainly into weak gauge bosons in the halo, and high-energy positrons are produced through leptonic and hadronic decays of the bosons. We investigate a possibility to detect the positron signal in upcoming ...
This paper investigates the non-commutative version of the Abelian Higgs model at the one loop level. We find that the BRST invariance of the theory is maintained at this order in perturbation theory, rendering the theory one-loop renormalizable. Upon removing the gauge field from the theory we also obtain a consistent continuum renormalization of the ...
We analyze the symmetry group of massive Yang�Mills theories and their quantization strongly motivated by an already proposed alternative to the standard model of electroweak interactions without Higgs. In these models the mass generation of the intermediate vector bosons is based on a non-Abelian Stueckelberg mechanism, where the dynamics of the ...
A formula is derived that allows the computation of one-loop mass shifts for self-dual semilocal topological solitons. These extended objects, which in three spatial dimensions are called semi-local strings, arise in a generalized Abelian Higgs model with a doublet of complex Higgs fields. Having a mixture of global, SU(2), and local ...
The consequences of on-shell supersymmetry are studied for scattering amplitudes with massive particles in four dimensions. Using the massive version of the spinor-helicity formalism, the supersymmetry transformations relating products of on-shell states are derived directly from the on-shell supersymmetry algebra for any massive representation. Solutions to the resulting Ward identities can be ...
The problem of defining a gauge-invariant effective potential with a strict energetic interpretation is examined in the context of spontaneously broken gauge theories. It is shown that such a potential can be defined in terms of a composite gauge-invariant order parameter in physical gauges. This effective potential is computed through one-loop order in a model with scalars and fermions coupled to ...
This paper describes some methods for calculating derivative terms in the one loop effective action for a quantum field theory. The functional approach and background field method are first used to derive the general form of the one loop determinant. Then the determinant is expanded in powers of derivatives of the background fields. The form of this expansion is described for the simple case of an ...
The non-abelian generalization of the Born-Infeld non-linear lagrangian is extended to the non-commutative geometry of matrices on a manifold. In this case not only the usual SU(n) gauge fields appear, but also a natural generalization of the multiplet of scalar Higgs fields, with the double-well potential as a first approximation. The matrix realization ...
We describe a framework to develop, implement and validate any perturbative Lagrangian-based particle physics model for further theoretical, phenomenological and experimental studies. The starting point is FeynRules, a Mathematica package that allows to generate Feynman rules for any Lagrangian and then, through dedicated interfaces, automatically pass the corresponding relevant information to any ...
Starting with the definition of quaternion gauge theory, we have undertaken the study of SU(2) e � SU(2) m � U(1) e � U(1) m in terms of the simultaneous existence of electric and magnetic charges along with their Yang-Mills counterparts. As such, we have developed the gauge theory in terms of four coupling constants associated with four-gauge symmetry SU(2) e � SU(2) m � U(1) e � ...
The non-Abelian Einstein-Born-Infeld-dilaton theory, which rules the dynamics of tensor-scalar gravitation coupled to a su(2)-valued gauge field ruled by Born-Infeld Lagrangian, is studied in a cosmological framework. The microscopic energy exchange between the gauge field and the dilaton which results from a nonuniversality of the coupling to gravity modifies the usual ...
We analyze the core dynamics of critically coupled, superheavy gauge vortices in the (2+1)-dimensional Einstein-Abelian Higgs system. By numerically solving the Einstein and field equations for various values of the symmetry breaking scale, we identify the regime in which static solutions cease to exist and topological inflation begins. We explicitly ...
The existence of nonsingular classical magnetic monopole solutions is usually understood in terms of topologically nontrivial Higgs field configurations. We show that finite energy magnetic monopole solutions also exist within a class of purely Abelian gauge theories containing charged vector mesons, even though the possibility of nontrivial topology does ...
A new class of renormalizable gauges is introduced that is particularly well suited to compute effective potentials in spontaneously broken gauge theories. It allows one to keep free gauge parameters when computing the effective potential from vacuum graphs or tadpoles without encountering mixed propagators of would-be Goldstone bosons and longitudinal modes of the gauge field. As an illustrative ...
We investigate monopole solutions for the Born-Infeld Higgs system. We analyze numerically these solutions and compare them with the standard {close_quote}t Hooft{endash}Polyakov monopoles. We also discuss the existence of a critical value of {beta} (the Born-Infeld {open_quotes}absolute field parameter{close_quotes}) below which no regular solution exists. {copyright} {ital ...
We completely determine the moduli space M{sub N,k} of k vortices in U(N) gauge theory with N Higgs fields in the fundamental representation. Its open subset for separated vortices is found as the symmetric product (CxCP{sup N-1}){sup k}/S{sub k}. Orbifold singularities of this space correspond to coincident vortices and are resolved resulting in a smooth moduli manifold. The ...
We consider zero-temperature solutions to the Abelian Higgs model coupled to gravity with a negative cosmological constant. With appropriate choices of parameters, the geometry contains two copies of anti-de Sitter space, one describing conformal invariance in the ultraviolet, and one in the infrared. The effective speed of signal propagation is smaller in ...
Research during 1981 is described. The tagged photon spectrometer data collection is discussed. The MAC detector preliminary results and performance testing are covered, and theoretical studies during the year are listed. These include supercooling in SU(5) to look into why there is a lack of magnetic monopoles in the universe, a study of mass generation of neutrinos in grand unified theories, a ...
The vortex solutions of various classical planar field theories with (Abelian) Chern-Simons term are reviewed. Relativistic vortices, put forward by Paul and Khare, arise when the Abelian Higgs model is augmented with the Chern-Simons term. Adding a suitable sixth-order potential and turning off the Maxwell term provides us with pure ...
It has been argued in previous works by the authors that nodal excitations in (2+1)-dimensional doped antiferromagnets might exhibit, in the spin-charge separation framework and at specific regions of the parameter space, a supersymmetry between spinons and holons. This supersymmetry has been elevated to a N=2 extended supersymmetry of composite operators of spinon and holons, corresponding to the ...
We study the generic intersection (or web) of vortices with instantons inside, which is a 1/4 Bogomol'nyi-Prasad-Sommerfield state in the Higgs phase of five-dimensional N=1 supersymmetric U(N{sub C}) gauge theory on R{sub t}x(C*){sup 2}{approx_equal}R{sup 2,1}xT{sup 2} with N{sub F}=N{sub C} Higgs scalars in the fundamental representation. In the ...
In the first part of this thesis we study effective action of the theories with gauge symmetry spontaneously broken by the Higgs mechanism. The effective action of such Higgs theories should be gauge-invariant. However, the quantum and/or thermal contributions to the effective potential seem to be gauge-dependent, posing a problem for its physical ...
We develop an operator formalism for investigating the properties of non-abelian cosmic strings (and vortices) in quantum field theory. Operators are constructed that introduce classical string sources and that create dynamical string loops. The operator construction in lattice gauge theory is explicitly described, and correlation functions are computed in ...
We introduce T-branes, or "triangular branes", which are novel non-abelian bound states of branes characterized by the condition that on some loci, their matrix of normal deformations, or Higgs field, is upper triangular. These configurations refine the notion of monodromic branes which have recently played a key role in F-theory phenomenology. We show how ...
If neutrino tribimaximal mixing is explained by a non-Abelian discrete symmetry such as A{sub 4}, T{sub 7}, {Delta}(27), etc., the charged-lepton Higgs sector has a Z{sub 3} residual symmetry (lepton flavor triality), which may be observed directly in the decay chain H{sup 0} {yields} {psi}{sub 2}{sup 0}{bar {psi}}{sub 2}{sup 0}, then {psi}{sub 2}{sup ...
In the dynamical gauge-Higgs unification of electroweak interactions in the Randall-Sundrum warped spacetime, the Higgs boson mass is predicted in the range 120-290 GeV, provided that the spacetime structure is determined at the Planck scale. Couplings of quarks and leptons to gauge bosons and their Kaluza-Klein excited states are determined by the masses ...
The order-disorder duality structure is exploited in order to obtain a quantum description of anyons and vortices in: (a) the Maxwell theory; (b) the Abelian Higgs model; (c) the Maxwell Chern-Simons theory; (d) the Maxwell Chern-Simons-Higgs theory. A careful construction of a charge bearing order operator ([sigma]) and a magnetic ...
In this paper gauge theories are analyzed from the point of view of constructive quantum field theory. Diamagnetic inequalities for general lattice gauge theories are proven. They say that in a local field theory the ground-state energy density rises when the fields (scalars, Dirac fields, etc.) are minimally coupled to an external gauge field. A mass generation mechanism is described. ...
We study the quantum stabilization of a cosmic string by a heavy fermion doublet in a reduced version of the standard model. We show that charged strings, obtained by populating fermionic bound state levels, become stable if the electroweak bosons are coupled to a fermion that is less than twice as heavy as the top quark. This result suggests that extraordinarily large fermion ...
A variational approach is used to study Abelian vortices, both the ordinary and bosonic superconducting variety. Accurate results are presented for the energy per length. For superconducting strings the parameter space of solutions is mapped out, the critical current is quantified, the quench transition is studied, and the possibility of static solutions is investigated where ...
In this paper, we show how it is possible to obtain mass generation in the context of non-Abelian gauge field theory, using a noncommutative spacetime. This is further confirmed by the modified dispersion relation that results from such a geometry. Other effects in the domain of ultra high energy gamma rays and cosmic rays are also deduced and it is ...
Classical solutions of the self-interacting, non-abelian antisymmetric tensor gauge theory of Freedman and Townsend coupled to Einstein gravity are discussed. Particularly, it is demonstrated that the theory admits a classical metric solution which, depending on the value of the gauge coupling parameter of the theory, exhibits a black hole with an exotic nonabelian hair or a ...
Certain cosmic strings that occur in GUT models such as SO(10) can carry a magnetic flux which acts nontrivially on objects carrying SU(3)[sub color] quantum numbers. We show that such strings are non-Abelian Alice strings carrying nonlocalizable colored Cheshire'' charge. We examine claims made in the literature that SO(10) strings can ...
Observed events of ultra-high energy cosmic rays may indicate a hard component for the energy spectrum of their flux, which might have origin in the decay of long-lived vortons presumably condensed in the galactic halo. To be consistent with the needed present density, vortons may have been formed during the breaking of an abelian symmetry contained in a ...
We study an extension of the procedure to construct duality transformations among abelian gauge theories to the non abelian case.
We show that a minimal clone has a nontrivial weakly abelian representation iff it has a nontrivial abelian representation, and that in this case all representations are weakly abelian.
We consider a scenario within the minimal supersymmetric standard model (MSSM) extended by a singlet chiral superfield, in which neutralino dark matter annihilates to light singletlike Higgs bosons, which proceed to decay to either electron-positron or muon-antimuon pairs. Unlike neutralino annihilations in the MSSM, this model can provide a good fit to the PAMELA ...
According to Einstein's "Mach Principle" idea, inertia and mass are the result of a dynamical effect � namely a containment-confinement due to a universal energy to energy interaction, dominated by the contribution of the most distant sources in the universe, e.g. if the force weakens with distance like 1/rn, n < 2. In the present treatment of high energy (particle) physics, quarks and ...
Bubble collisions in cosmological phase transitions are explored, taking the non-abelian character of the gauge fields into account. Both the QCD and electroweak phase transitions are considered. Numerical solutions of the field equations in several limits are presented. The investigations reported in this talk have been motivated by an interest in studying cosmological phase ...
The electroweak phase transition in supersymmetric models is studied, analyzing the constraint on the Higgs-boson mass coming from the condition that the cosmic baryon asymmetry is not washed out soon after the phase transition. It is found that, in the minimal supersymmetric model, baryo-genesis at the weak scale requires a Higgs ...
We give an effective field theory derivation, based on the running of Planck brane gauge correlators, of the large logarithms that arise in the predictions for low energy gauge couplings in compactified AdS}_5 backgrounds, including the one-loop effects of bulk scalars, fermions, and gauge bosons. In contrast to the case of charged scalars coupled to Abelian gauge fields that ...
We investigate nonperturbative features of a three-dimensional Abelian Higgs model with singly and doubly charged scalar fields coupled to a single compact Abelian gauge field. The model is pretending to describe various planar systems of strongly correlated electrons such as high-T{sub c} superconductivity in the overdoped regime and ...
We modify the standard Abelian-Higgs model by introducing spatially-dependent couplings for the scalar and vector fields. We investigate static, non-cylindrically symmetric solutions of the resulting field equations and propose a pinch solution which interpolates between degenerate vacua along the string, labelled by �| n|. This configuration corresponds to a vortex which ...
The major theme of the theoretical physics research conducted under DOE support over the past several years has been within the rubric of the standard model, and concerned the interplay between symmetries and dynamics. The research was thus carried out mostly in the context of gauge field theories, and usually in the presence of chiral fermions. Dynamical symmetry breaking was examined both from ...
We present a mechanism to localize zero mode non-Abelian gauge fields in a slice of AdS{sub 5}. As in the U(1) case, bulk and boundary mass terms allow for a massless mode with an exponential profile that can be localized anywhere in the bulk. However in the non-Abelian extension, the cubic and quartic zero-mode gauge couplings do not match, implying a ...
This is the Final Report on a supported research project on theoretical particle physics entitled ``Investigations in Gauge Theories, Topological Solitons and String Theories.`` The major theme of particle theory pursued has been within the rubric of the standard model, particularly on the interplay between symmetries and dynamics. Thus, the research has been carried out primarily in the context ...
The finite-temperature effective potential customarily employed to describe the physics of cosmological phase transitions often relies on specific gauge choices, and is manifestly not gauge invariant at finite order in its perturbative expansion. As a result, quantities relevant for the calculation of the spectrum of stochastic gravity waves resulting from bubble collisions in first-order phase ...
Coset methods are used to construct the action describing the dynamics associated with the spontaneous breaking of the local Poincare symmetries of D dimensional space-time due to the embedding of a p-brane with codimension N=D-p-1. The resulting action is an ISO(1,p+N) invariant form of the Einstein-Hilbert action, which, in addition to the gravitational vielbein, also includes N massive gauge ...
Coset methods are used to construct the action describing the dynamics associated with the spontaneous breaking of the local Poincar� symmetries of D dimensional space-time due to the embedding of a p-brane with codimension N=D-p-1. The resulting action is an ISO(1,p+N) invariant form of the Einstein-Hilbert action, which, in addition to the gravitational vielbein, also includes N massive gauge ...
The review studies a special class of Yang--Mills fields: spatially homogeneous fields (classical Yang--Mills mechanics), which have no analog in linear Abelian electrodynamics. Computer and analytic approaches show that such fields possess dynamical stochasticity, on the basis of which it may be asserted that the classical Yang--Mills equations without external sources ...
In this work the phenomenon of charge confinement is approached in various contexts. An universal criterion for the identification of this phenomenon in Abelian gauge theories is suggested: the so-called spontaneous breaking of the brane symmetry. This local symmetry has its most common manifestation in the Dirac string ambiguity present in the electromagnetic theory with ...
Energy spectrum and degeneracy associated with bound states of monopoles and dyons in non-Abelian gauge theory has been investigated and it is shown that energy levels expand due to the presence of additional degeneracies. Splitting of energy level of dyonium in presence of external magnetic and electric field has also been analyzed confirming the presence of additional ...
A theory of spontaneous T violation is presented. The total T and a gauge transformation (e.g., the hypercharge gauge), but the physical solutions are not. In addition to the spin-1 gauge field and the known matter fields, in its simplest form the theory consists of two complex spin-0 fields. Through the spontaneous symmetry-breaking mechanism of Goldstone and ...
The positron anomaly recently reported by the cosmic-ray measurements can be explained by the decaying dark matter scenario, where it decays mainly into leptons with the lifetime of O(1026) s. When the dark matter is a fermionic particle, the lifetime of this order is known to be obtained by a dimension 6 operator suppressed by the unification scale (�1016�GeV), while such ...
The Aharonov-Bohm effect has been invoked to probe the phase structure of a gauge theory. Yet in the case of non-Abelian gauge theories, it proves difficult to formulate a general procedure that unambiguously specifies the realization of the gauge symmetry, e.g., the unbroken subgroup. In this paper we propose a set of order parameters that will do the job. We articulate the ...
The results of a theoretical study of extending some standard gauge and super-gauge models are reported. The Stueckelberg formalism which allows us to introduce vector masses and extra interactions without destroying any invariance initially present has been used. The consequences of including both the Higgs mechanism and a U(1) Stueckelberg mass in the standard electroweak ...
