It is shown how one can formulate an action principle for classical Abelian gauge theories not by means of gauge potentials and currents but in terms of the gauge invariant field strengths and gauge variant stream potentias. The discussion is on a general...

Collective oscillations of matter interacting via a classical non-Abelian gauge field are discussed. General equations of motion are derived. Every gauge group is shown to lead to effectively Abelian oscillations corresponding to oscillations of the addit...

A confined magnetic flux solution of finite length and finite energy, arising from non-Abelian-gauge theory, is presented. (AIP)

Abelian mechanism of non-Abelian color confinement is observed in a gauge-independent way by high precision lattice Monte Carlo simulations in gluodynamics. An Abelian gauge field is extracted with no gauge fixing. Then we decompose the ...

Generalization of the notion of non-integrable phase is proposed for the case of non-abelian gauge field. It gives an opportunity of the consistent description on non-abelian magnetic charges, if quantization rule is fulfilled. The non-abelian analogies o...

The connection between the Fermi-Walker transport and the Weyl non-Abelian gauge field is established. A theoretical possibility of detecting the Weyl gauge field caused by the Thomas precession of a gyroscope is discussed 7 refs. Submitted to Internation...

It is shown that the congruent transference introduced by Weyl in 1921 defines a non-Abelian gauge field. The simplest gauge-invariant equations are proposed for this field. Connection with the Riemann-Cartan geometry is discussed. 6 refs. (Atomindex cita...

We study an anisotropic inflation model with a gauge kinetic function for a non-abelian gauge field. We find that, in contrast to abelian models, the anisotropy can be either a prolate or an oblate type, which could lead to a different prediction from abelian models for the ...

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 ...

On the basis of global Abelian gauge invariant classical field theoretical models, the problem of existence of hidden symmetry with respect to some nonlocal gauge transformations without including compensating fields is investigated. In the 2-dimensional ...

A massive Abelian gauge field coupled with a non-conserved mass-changing current is described within the framework of canonical quantum theory with indefinite metric. In addition to the conventional Lagrange multiplier field, another ghost field is introd...

... (Author). Descriptors : *COMMUTATORS, *ELECTROMAGNETIC FIELDS, *GROUPS(MATHEMATICS), ALGEBRAIC TOPOLOGY, DIFFERENTIAL ...

We explore vortex formation for Abelian projected SU(2) in the Polyakov gauge and compare the results with those calculated in the maximal Abelian gauge. In both gauges, a nonzero vacuum expectation value of a monopole field operator signals confinement. We find vortices in ...

We construct a non-Abelian gauge theory of chiral 2-forms (self-dual gauge fields) in 6 dimensions with a spatial direction compactified on a circle of radius R. It has the following two properties. (1) It reduces to the Yang-Mills theory in 5 dimensions for small R. (2) It is equivalent to the Lorentz-invariant ...

We study the coupling of abelian gauge theories to four-dimensional simplicial quantum gravity. The gauge fields live on dual links. This is the correct formulation if we want to compare the effect of gauge fields on geometry with similar effects studied so far for scalar ...

Which gauge transformations are symmetries (in the sense of Schwarz, and Forgacs and Manton) of a given gauge field configuration. First, in topologically non-trivial gauge theories there may be an obstruction for implementing gauge transformations on the...

The basic set of gauge-invariant local as well as nonlocal fields is constructed for a non-Abelian pure gauge theory with the gauge group SU({ital N}). It is shown that the basic set of local gauge-invariant fields are local generators of the nonlocal ...

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 ...

All order Seiberg-Witten maps of gauge parameter, gauge field, and matter fields are given as a closed recursive formula. These maps are obtained by analyzing the order by order solutions of the gauge consistency and equivalence conditions as well as by directly solving Seiberg-Witten ...

We (try to) pedagogically explain how monopoles arise in QCD, why maximal Abelian (MA) gauge is ''special'' for monopole study, the Abelian projection in MA gauge, its resultant degrees of freedom (photons, monopoles and charged matter fields), and the QC...

The dynamic mechanism of spontaneous breakdown of chiral invariance in non-abelian gauge theories is proposed. The spectrum of the quark dynamical masses in quantum chromodynamics is found. (Atomindex citation 12:582720)

It is shown that the hypothesis that bound states are generated by weak interactions between leptons might be at the origin of Yang--Mills gauge fields; and it is shown how the Abelian or nonAbelian gauge transformations of the gauge fields might ...

In this paper by using the BRST invariance, the authors discuss the stochastic gauge-fixing function which corresponds to the ordinary gauge-fixing function for non-Abelian antisymmetric tensor fields as reducible gauge theories. Then the trail stochastic gauge-fixing ...

Generalizing an earlier work on the Abelian case the most general non-Abelian gauge theory in two spatial dimensions is derived. It is shown that local gauge invariance leads to a new term in the action which in turn requires that the gauge current operator have a part which is bilinear in the ...

The formalism of Pugh's asymptotic field theory is applied here to the problem of quantizing non-Abelian gauge fields. The advantage of this formalism is that no ultraviolet divergences ever appear when one performs perturbation theory calculations for S-matrix elements. By fixing the form of the ...

A direct connection is proved between the non-Abelian Bianchi Identities (NABI's) and the Abelian Bianchi identities for the 't Hooft tensor. As a consequence, the existence of a nonzero magnetic current is related to the violation of the NABI's and is a gauge-invariant property. The construction allows us to ...

A direct connection is proved between the non-Abelian Bianchi Identities (NABI�s) and the Abelian Bianchi identities for the �t Hooft tensor. As a consequence, the existence of a nonzero magnetic current is related to the violation of the NABI�s and is a gauge-invariant property. The construction allows us to show that not all ...

It is shown that a wide class of non-Abelian gauge theories have, up to calculable logarithmic corrections, free-field-theory asymptotic behavior. It is suggested that Bjorken scaling may be obtained from strong-interaction dynamics based on non-Abelian gauge symmetry. (auth)

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 ...

We consider the bosonic fractional quantum Hall (FQH) effect in the presence of a non-Abelian gauge field in addition to the usual Abelian magnetic field. The non-Abelian field breaks the twofold internal state degeneracy, but preserves the Landau level ...

We discuss the covariant formulation of the dynamics of particles with Abelian and non-Abelian gauge charges in external fields. Using this formulation we develop an algorithm for the construction of constants of motion, which makes use of a generalization of the concept of Killing vectors and tensors in ...

We discuss the possibility of realizing metal-insulator transitions with ultracold atoms in two-dimensional optical lattices in the presence of artificial gauge potentials. For Abelian gauges, such transitions occur when the magnetic flux penetrating the lattice plaquette is an irrational multiple of the magnetic flux quantum. Here we ...

The physical content of nonrelativistic quantum field theory with non-Abelian Chern-Simons interactions is clarified with the help of the equivalent first-quantized description which we derive in any physical gauge.

Dirac's theory of magnetic monopoles is extended to the case of non- Abelian color gauge groups. The exact classical solution is obtained by making use of the gauge-independent method of a Yang-Mills field. The case of broken gauge symmetry is also briefly discussed. (NL)

The motivation for formulating gauge theories on a lattice is reviewed. Monte Carlo simulation techniques are then discussed for these systems. Finally, the Monte Carlo methods are combined with renormalization group analysis to give strong numerical evidence for confinement of quarks by non-Abelian gauge fields.

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 ...

The authors carefully compute the gluon propagator in the background of a non-Abelian Weizsaecker-Williams field. This background field is generated by the valence quarks in very large nuclei. They find contact terms in the small fluctuation equations of motion which induce corrections to a previously incorrect result for the gluon ...

We study an extension of the procedure to construct duality transformations among abelian gauge theories to the non abelian case.

When an antisymmetric tensor potential is coupled to the field strength of a gauge field via a BANDF coupling and a kinetic term for B is included, the gauge field develops an effective mass. The theory can be made invariant under a non-Abelian vector ...

A generalization of non-Abelian gauge theories of compact Lie groups is developed by gauging the noncompact group of volume-preserving diffeomorphisms of a D-dimensional space R{sup D}. This group is represented on the space of fields defined on M{sup 4}xR{sup D}. As usual the gauging requires ...

The fundamental theory of the geometric phase is summarized in a way suitable for use in molecular systems treated by the Born-Oppenheimer approach. Both Abelian and non-Abelian cases are considered. Applications discussd include the Abelian geometric phase associated with an intersection of two electronic potential-energy surfaces; ...

The exact solution of the Dirac equation in the external non-abelian SU(N) gauge field, which is governed by the Yang-Mills equations and is in the form of a plane wave on the light cone, is obtained.

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 ...

We consider the finite-action classical solutions of Euclidean topologically massive gauge theories in the presence of external sources. We study the Abelian case for general sources, as well as the general non-Abelian case for weak sources. We also investigate the solutions within the radial {ital Ansatz}, both with the usual source ...

An Abelian gauge symmetry can be spontaneously broken near a black hole horizon in anti-de Sitter space using a condensate of non-Abelian gauge fields. A second order phase transition is shown to separate Reissner-Nordstr�m-anti-de Sitter solutions from a family of symmetry-breaking solutions ...

An Abelian gauge symmetry can be spontaneously broken near a black hole horizon in anti-de Sitter space using a condensate of non-Abelian gauge fields. A second order phase transition is shown to separate Reissner-Nordstroem-anti-de Sitter solutions from a family of symmetry-breaking solutions ...

An Abelian gauge symmetry can be spontaneously broken near a black hole horizon in anti de Sitter space using a condensate of non-Abelian gauge fields. A second order phase transition is shown to separate Reissner Nordstr�m anti de Sitter solutions from a family of symmetry-breaking solutions ...

We construct a classical action for a system of N point-like sources which carry SU(2) non-Abelian charges coupled to non-Abelian Chern-Simons gauge fields, and we develop a quantum mechanics for them. Adopting the coherent state quantization and solving the Gauss` constraint in an appropriately chosen ...

The conditions of local gauge invariance under a general non-Abelian group are discussed. They imply the field equations for the gauge vector fields and the existence of conserved Noether's currents of global gauge invariance. There are no extra conserved currents ...

The principal sigma model and Abelian gauge fields coupling is studied. By expressing the first-order formulation of the gauge field equations an implicit on-shell scalar-gauge field decoupling structure is revealed. It is also shown that due to this ...

Some recent progresses in three aspects of numerical simulation of non abelian lattice gauge theories coupled to matter fields are reported here: first the simulation of the fermionic part of the Boltzmann factor, second the (quenched) MC analysis of ''bi...

It is shown that the Lorentz invariance is broken in gauge theories of chiral Weyl fermions in flat space-time via one-loop quantum corrections. Abelian gauge fields contribute to this anomaly in even dimensions larger than or equal to four and non-Abelia...

We consider a class of field theories which contains a Lorentz and gauge invariant theory as a fixed point, but whose generic member possesses none of these symmetries. We show that this fixed point is an infrared repulsor for all non-abelian groups. We a...

The Born-Infeld Lagrangian for non-Abelian gauge theory is adapted to the case of the generalized gauge fields arising in noncommutative matrix geometry. Basic properties of static and time-dependent solutions of the scalar sector of this model are investigated.

We study renormalizability of gauge theories in nonlinear gauges with the help of auxiliary fields. We show that the auxiliary-field formulation is particularly helpful in understanding the divergence structures in the nonlinear gauges. A quadratic gauge-fixing choice in ...

This paper points out that equations (18a) and (18b) in Ref. [7] [Gao Y J 2008 Chin. Phys. B 17 3574] only possess the solutions M = �??�?. So, there does not exist the so-called soliton solution family for the Einstein�Maxwell theory with multiple Abelian gauge fields shown in Ref. [7].

A numerical study is made of the gauge field model of magnetic confinement. The nonlinear differential equations describing a flux tube are solved by a relaxation method. Particular attention is paid to the boundary conditions at the center of the flux tube and the effect of these boundary conditions in differentiating between Abelian ...

We demonstrate how to create artificial external non-Abelian gauge potentials acting on cold atoms in optical lattices. The method employs $n$ internal states of atoms and laser assisted state sensitive tunneling. Thus, dynamics are communicated by unitary $n\\times n$-matrices. By experimental control of the tunneling parameters, the system can be made ...

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 ...

Based on the strong magnetic anisotropy along the symmetry of the crystal, we construct a U(2) non-Abelian gauge potential for the molecular nanomagnet Mn12 by varying the external magnetic field adiabatically. Moreover, the non-Abelian geometric phase and the unitary matrix operation, which are the key steps to ...

We prove the Stokes theorem for non-Abelian gauge fields using general surface coordinates. Our result contains both of the known versions of the non-Abelian Stokes theorem and allows us to get a new one which is explicitly invariant under rotations of coordinates.

We introduce the entanglement gauge describing the combined effects of local operations and nonlocal unitary transformations on bipartite quantum systems. The entanglement gauge exploits the invariance of nonlocal properties for bipartite systems under local (gauge) transformations. This new formalism yields observable effects arising ...

We show that non-Abelian gauge fields arise in a nongauged quantum system in the adiabatic approximation by working out a model of N-dimensional rotational symmetry. The induced gauge fields are symmetric under N-dimensional rotations accompanied by compensating gauge ...

The variational methods of classical field theory may be applied to any theory with an action which is invariant under local gauge transformations. What is the significance of the resulting Noether current. This paper examines such currents for both Abelian and non-Abelian gauge theories and ...

The variational methods of classical field theory may be applied to any theory with an action that is invariant under local gauge transformations. What is the significance of the resulting Noether current This article examines such currents for both Abelian and non-Abelian gauge theories and ...

The non-Abelian Freedman-Townsend gauge tensor model is quantized in large class of covariant gauges using the geometrical reinterpretation of the BRS equations. In addition to the now usual pyramid of gauge and ghost states, a pyramid of auxiliary fields is found in our construction. These ...

In order to further test't Hooft's confinement mechanism, we have carried out Monte Carlo calculations of 'abelian' Wilson loops, and the color distribution of electric flux, in certain maximal abelian gauges of SU(2) lattice gauge theory. The electric fl...

discussed in the literature of stochastic field theories. A mean�field formulation of the dynamical problem of the color fields of non�Abelian gauge theories in the high temperature regime, as a stochastic classical the associated Langevin mean�field equation, but ...

The mechanism of non-Abelian color confinement is studied in SU(2) lattice gauge theory in terms of the Abelian fields and monopoles extracted from non-Abelian link variables without adopting gauge fixing. First, the static quark-antiquark potential and force are computed ...

This paper exposes a reformulation of some gauge theories in terms of explicitly gauge-invariant variables. We show in the case of Scalar QED that the classical theory can be reformulated locally with some gauge invariant variables. We discuss the form of some realistic asymptotic solutions to these equations. The equations of motion ...

We consider abelian chiral gauge theories on the lattice with exact gauge invariance in which the admissible gauge fields are restricted to the ZN subgroup of the original U(1). In the gauge-invariant construction of the original U(1) theory, the gauge ...

We show how a single, harmonically trapped atom in a tailored magnetic field can be used for simulating the effects of a broad class of non-Abelian gauge potentials. We demonstrate how to implement Rashba or linear-Dresselhaus couplings, or observe Zitterbewegung of a Dirac particle.

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 ...

The parity-violating effective action for theories of fermions coupled to external gauge and gravitational fields in odd dimensions is computed exactly. This action is then used to compute gauge and gravitational anomalies in even dimensions. This derivation of the anomalies elucidates the relation of covariant to consistent anomalies ...

In this paper we quantize massive Abelian two-form gauge fields in six dimensions following the antifield BRST formalism. The quantization procedure is based on the quantization of a first-class system associated with the original theory. This first-class system is obtained by converting the original second-class constraints into some ...

We generalize the usual gauge transformations connected with the 1-form gauge potential to the Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for the four (3+1)-dimensional (4D) topologically massive non-Abelian gauge theory that incorporates the famous (B ? F) term where there is an ...

We have analyzed, calculated and extended the modification of Maxwell's equations in a complex Minkowski metric, M4 in a C2 space using the SU2 gauge, SL(2,c) and other gauge groups, such as SUn for n>2 expanding the U1 gauge theories of Weyl. This work yields additional predictions beyond the electroweak unification scheme. Some of ...

We propose a non-local definition of a gauge-invariant object in terms of the Wilson loop operator in a non-Abelian gauge theory. The trajectory of the object is a closed curve defined by an (untraced) Wilson loop which takes its value in the center of the color group. We show that definition shares basic features with the ...

The coupling of chiral fermions in a fundamental representation of SU(2) to a general set of spherically symmetric gauge fields is explored. A method patterned after that employed for the gauge fields is used to impose spherical symmetry on the spinor fields. When this is done, reduction of the ...

Quantization techniques for pure non-Abelian gauge fields which avoid the problem of Gribov copies are investigated both in the continuum and on the lattice. The main motivation for such research is that the solution of the Gribov ambiguity is essential in studying nonperturbative aspects of non-Abelian ...

We point out that the Rashba and Dresselhaus spin-orbit interactions in two dimensions can be regarded as a Yang-Mills non-Abelian gauge field. The physical field generated by the gauge field gives the electron wave function a spin-dependent phase which is frequently called ...

Non-Abelian gauge theory in a manifestly covariant gauge is formulated as a theory of canonical field operators and embedded in an indefinite metric space. A gauge fixing field is included and every field component has a non-vanishing adjoint momentum ...

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 ...

The dual Meissner effect is observed without monopoles in quenched SU(2) QCD with Landau gauge fixing. Magnetic displacement currents that are time-dependent Abelian magnetic fields act as solenoidal currents squeezing Abelian electric fields. Monopoles are not always necessary for the dual ...

The gradient flow in non-abelian gauge theories on {mathbb{R}^4} is defined by a local diffusion equation that evolves the gauge field as a function of the flow time in a gauge-covariant manner. Similarly to the case of the Langevin equation, the correlation functions of the time-dependent ...

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 ...

The influence of vector backgrounds with restored Lorentz invariance on non-Abelian gauge field theories is studied. Lorentz invariance is ensured by taking the average over a Lorentz invariant ensemble of background vectors, which are shifting the gauge field. Thereby the propagation of ...

A relativistic formulation of non-Abelian gauge theories without Faddeev-Popov ghosts is presented. It is based on equations of motion which respect the gauge symmetry but cannot be deduced from a Lagrangian. As a consequence, the three-particle vertex functions are symmetric under the exchange of two lines only. Four-particle vertex ...

We show that the adiabatic motion of ultracold, multilevel atoms in spatially varying laser fields can give rise to effective non-Abelian gauge fields if degenerate adiabatic eigenstates of the atom-laser interaction exist. A pair of such degenerate dark states emerges, e.g., if laser fields ...

We investigate the properties of the Lieb lattice, that is, a face-centered square lattice, subjected to external gauge fields. We show that an Abelian gauge field leads to a peculiar quantum Hall effect, which is a consequence of the single Dirac cone and the flat band characterizing the ...

The functional approach developed earlier for scattering theory in quantum field theory makes it possible to make an explicit and complete study of the gauge invariance properties of transition amplitudes (not just of the gauge transformations of Green's functions) in covariant and noncovariant gauges. ...

In a topologically nontrivial gauge theory not all gauge transformations are symmetries (as defined by Forgacs and Manton and by Schwarz) of a given field configuration: first, there may be an obstruction to implement gauge transformations on the fields; next, even those transformations which ...

Washington University is currently conducting research in many areas of high energy theoretical and mathematical physics. These areas include: strong-coupling approximation; classical solutions of non-Abelian gauge theories; mean-field approximation in qu...

Green's functions for massive spinor and vector particles propagating in a self-dual but otherwise arbitrary non-Abelian gauge field are shown to be completely determined by the corresponding Green's functions of massive scalar particles.

We introduce a new concept for thermal quantum theories, which expresses a time dependent quasi-particle picture as the coupling to an external (classical) gauge field. The non-abelian nature of this field even for quasi-free systems can lead to renormali...

We examine the anomalies which arise in two-dimensional non-Abelian quantum field theories under general, infinitesimal gauge transformations. These results are then integrated to finite transformations, and bosonic {sigma} models are constructed which reproduce the infinitesimal anomalies.

Quantization and renormalization of non-Abelian gauge fields is studied. Yang-Mills theory is renormalized up to two-loops using the background field method retaining arbitrary value of the gauge parameter. The result confirms the expectations for calculations performed in background ...

We analyze previously proposed order parameters for the confinement-deconfinement transition in lattice SU(2) Yang-Mills theory, defined as vacuum expectation value (VEV) of monopole fields in Abelian projection gauges. We show that they exhibit some inconsistency in the treatment of small scales, due to a violation of Dirac ...

We demonstrate how to create artificial external non-Abelian gauge potentials acting on cold atoms in optical lattices. The method employs atoms with k internal states, and laser assisted state sensitive tunneling, described by unitary k x k matrices. The single-particle dynamics in the case of intense U2 vector potentials lead to a generalized Hofstadter ...

We demonstrate how to create artificial external non-Abelian gauge potentials acting on cold atoms in optical lattices. The method employs atoms with k internal states, and laser assisted state sensitive tunneling, described by unitary kxk matrices. The single-particle dynamics in the case of intense U(2) vector potentials lead to a generalized Hofstadter ...

It is shown that the action principle solves the quantization problem of gauge fields without the recourse to path integrals, without the use of canonical commutation rules, and without the need of going to the complicated structure of the Hamiltonian. We obtain the expression for the vacuum-to-vacuum transition amplitude directly from the action principle ...

We consider a single, harmonically trapped atom with internal hyperfine structure in an external magnetic field. We show that by a simple canonical transformation the system can be mapped to a charged particle moving in an abelian or non-abelian gauge potential. The form of the gauge potential ...

The formation of monopoles and their condensation in the QCD ground state is a feature which is related to abelian gauge fixing, discussed in this chapter. The gluon field acquires a singularity in the vicinity of points in space where abelian gauge fixing fails and magnetic monopoles are ...

It is shown that the dynamical evolution of perturbations on a static spacetime is governed by a standard pulsation equation for the extrinsic curvature tensor. The centerpiece of the pulsation equation is a wave operator whose spatial part is manifestly self-adjoint. In contrast to metric formulations, the curvature-based approach to perturbation theory generalizes in a natural way to ...

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 ...

The structure of the Hamiltonian related to a regularized non-Abelian gauge field theory is discussed in the light of different choices for gauge-invariant wave functionals (loop space, Coulomb, axial, Schwinger gauge). Arguments are given for the suggestion that the Schwinger ...

We improve on a method to compute the fermion contribution to the vacuum polarization energy of string-like configurations in a non-Abelian gauge theory. We establish the new method by numerically verifying the invariance under (a subset of) local gauge transformations. This also provides further support for the use of spectral methods ...

Extended non-linear BRS and Gauge transformations containing Lie algebra cocycles, and acting on non-abelian antisymmetric tensor fields are constructed in the context of free differential algebras. New topological invariants are given in this framework. 6 refs.

We review the string representations of Abelian-projected SU(2)- and SU(3)-gauge theories and their application to the evaluation of bilocal field strength correlators. The large distance asymptotic behaviours of the latter ones are shown to be in agreement with the Stochastic Vacuum Model of QCD and existing lattice data

We study (2+1)-dimensional Abelian gauge theories in which the gauge field has both Maxwell and Chern-Simons topological terms as the action and is coupled to a generic matter field. It is shown that the statistics of the matter field is transmuted into an anyonic one when ...

It is found that the effective Hamiltonian for nuclear rotation in a diatom is equivalent to that of a charged particle in a background magnetic-monopole field. In certain cases, half-integer orbital angular momentum or non-Abelian fields occur. Furthermore, the effects of magnetic-monopole-like gauges ...

We consider a free massless scalar field coupled to an infinite tower of background higher-spin gauge fields via minimal coupling to the traceless conserved currents. The set of Abelian gauge transformations is deformed to the non-Abelian group of unitary operators acting ...

We investigate properties of magnetic superconductivity as a mechanism for quark confinement. There are two kinds of magnetic permeability, m/sup ele/ and m/sup mag/, in non-Abelian gauge theory. Necessary conditions for electric and magnetic superconductivity are given by m/sup ele/approx.0 and m/sup mag/approx.0, respectively. Employing a linear response ...

We show that a gauge-invariant magnetic monopole can be defined in Yang-Mills theory without matter fields, using a non-Abelian Stokes theorem and change of field variables a la Cho-Faddeev-Niemi, instead of using the Abelian projection. In fact, we give a first exact solution representing a ...

In this paper, we study charged spin-1/2 particles in two dimensions, subjected to a perpendicular non-Abelian magnetic field. Specializing to a choice of vector potential that is spatially constant but non-Abelian, we investigate the Landau level spectrum in planar and spherical geometry, paying particular attention to the role of the ...

The problem of constructing consistent parity-violating interactions for spin-3 gauge fields is considered in Minkowski space. Under the assumptions of locality, Poincare invariance, and parity noninvariance, we classify all the nontrivial perturbative deformations of the Abelian gauge algebra. In space-time ...

We derive absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for the 4D free Abelian 2-form gauge theory by exploiting the superfield approach to BRST formalism. The antisymmetric tensor gauge field of the above theory was christened as the "notoph" (i.e. the opposite ...

We initiate a programme to compute curvature corrections to the non-Abelian Born Infeld action. This is based on the calculation of derivative corrections to the Abelian Born Infeld action, describing a maximal brane, to all orders in F=B+2??F. An exact calculation in F allows us to apply the Seiberg Witten map, reducing the maximal ...

This paper reports on the scalar field coupled to the Abelian Chern-Simons gauge field that is quantized in the loop representation. The physical space of states is found to be labeled by equivalence classes of sets of open paths. The relations among them are studied, showing that the long range interaction ...

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...

The publication collects six lectures on the following themes: quantum field theory and classical statistical mechanics, continuous symmetries, lattice gauge theories, the nature of confinement, a criterion for confinement and non-abelian Yang-Mills theor...

The problem and treatment of integration ambiguities in the conventionally defined Yang-Mills charges is demonstrated explicitly, using a non-Abelian solution of the Yang-Mills equations for a point charge. The internal holonomy group H for this solution ...

Singularity-free non-Abelian solutions of the classical free Yang-Mills equations are shown to exist, which have a vanishing energy-momentum tensor density. Their internal holonomy group is found to be noncompact. (Author)

The authors consider the implementation of a properly modified form of the Fock-Schwinger gauge condition in a general non-Abelian gauge theory in the context of the BFV formalism. In this paper arguments are presented to justify the necessity of modifying the original Fock-Schwinger condition. The free field ...

We present numerical evidence that the real-time Hamiltonian dynamics of SU(2) gauge theory on a spatial lattice exhibits deterministic chaos in the semiclassical limit. We determine the largest Lyapunov exponent of the gauge field as a function of energy density, and derive a nonperturbative expression for the thermalization time.

Recently, Gliozzi has shown that, under certain conditions, it is possible to derive the Dirac-Born-Infeld action for an Abelian gauge field of a D-brane. Also, the action turns out to be invariant with respect to a nonlinear realization of the full Poincar� group. A crucial role is played by the transformation properties of the ...

In this paper, the authors discuss Ward identities in five-dimensional Abelian Chern-Simons theory. Using the Ward identities the authors calculate correlation functions of some field variables which are invariant under diffeomorphisms and gauge transformations. The authors show that the correlation functions are expressed by the ...

Abelian duality on the closed three-dimensional Riemannian manifold M{sup 3} is discussed. Partition functions for the ordinary U(1) gauge theory and a circle-valued scalar field theory on M{sup 3} are explicitly calculated and compared. It is shown that both theories are mutually dual.

The dynamics of abelian vector and antisymmetric tensor gauge fields can be described in terms of twisted self-duality equations. These first-order equations relate the p-form fields to their dual forms by demanding that their respective field strengths are dual to each other. It is well known ...

Extended Abelian monopoles are investigated in SU(2) lattice gauge theory in three dimensions. Monopoles are computed by Abelian projection in several gauges, including the maximal Abelian gauge. The number [ital N][sub [ital m

We consider a model with anomaly-free Abelian gauge axial-vector symmetry, which is intended to mimic the standard electroweak gauge chiral SU(2){sub L}xU(1){sub Y} theory. Within this model we demonstrate: (1) Strong Yukawa interactions between massless fermion fields and a massive scalar ...

We study the bound states of two spin-1/2 fermions interacting via a contact attraction (characterized by the scattering length) in the singlet channel in 3D space in presence of a uniform non-Abelian gauge field. The configuration of the gauge field that generates a Rashba type spin-orbit ...

We study the bound states of two spin-(1)/(2) fermions interacting via a contact attraction (characterized by a scattering length) in the singlet channel in three-dimensional space in presence of a uniform non-Abelian gauge field. The configuration of the gauge field that generates 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.

The paper examines the emergence of gauge fields during the evolution of a particle with a spin that is described by a matrix Hamiltonian with n different eigenvalues. It is shown that by introducing a spin gauge field a particle with a spin can be described as a spin multiplet of scalar particles situated in a ...

The role which gauge transformations of noninteger winding numbers might play in non-Abelian gauge theories is studied. The phase factor acquired by the semiclassical physical states in an arbitrary background gauge field when they undergo a gauge transformation of an ...

Non-Abelian gauge symmetry in (3 + 1)-dimensional space-time is analyzed in the causal Epstein-Glaser framework. In this formalism, the technical details concerning the well-known UV and IR problem in quantum field theory are separated and reduced to well-defined problems, namely the causal splitting and the adiabatic switching of ...

We consider an Einstein-Hilbert-Dilaton action for gravity coupled to various types of Abelian and non-Abelian gauge fields in a spatially finite system. These include Yang-Mills fields and Abelian gauge fields with three and ...

We study the quantization of Abelian gauge theories of principal torus bundles over compact manifolds with and without boundary. It is shown that these gauge theories suffer from a Gribov ambiguity originating in the nontriviality of the bundle of connections whose geometrical structure will be analyzed in detail. Motivated by the ...

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 ...

We address the properties of self-gravitating domain walls arising from the breaking of an SU(N)�Z2-symmetric theory. In the particular case of N=5, we find that the two classes of stable non-Abelian kinks possible in flat space, that break SU(5) to its maximal subgroups, have an analogue in the gravitational case, and construct the analytical solutions. Localization of ...

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 ...

The appropriate language for describing the pure Yang-Mills theories is introduced. An elementary but precise presentation of the mathematical tools which are necessary for a geometrical description of gauge fields is given. After recalling basic notions of differential geometry, it is shown in what sense a gauge potential is a ...

A model of confined quarks is presented. It involves an abelian (or nonabelian) gauge field coupled to a quark field. The theory is quantized on a discrete space-time lattice. It shows quark confinement for strong coupling. Specifically, for strong coupling isolated quarks have infinite mass and quark- ...

The tree-level unitarity is discussed and the asymptotic behavior of scattering amplitudes for 3-dimensional gauge-invariant models is presented, where complex Chern-Simons-Maxwell fields (with and without a Proca-like mass) are coupled to an Abelian gaug...

The non-local quantum field theory, finite at a fixed elementary length l and based on the non-abelian gauge group SU(N)xU(1), is built up. A principle possibility of calculating the form factor is shown. As an illustration the vacuum polarization operato...

Fluctuations of non-Abelian gauge fields in a background magnetic flux contain tachyonic modes and hence the background is unstable. We extend these results to the cases where the background flux is coupled to Einstein gravity and show that the corresponding spherically symmetric geometries, which in the absence of a cosmological ...

QCD vacuum properties and the structure of color fields in hadrons are reviewed using the complete set of gauge-invariant gluon field correlators. QCD confinement is produced by correlators with a certain Lorentz structure, which violate the Abelian Bianchi identities and are therefore absent in QED. These ...

The considerations of the first paper in this series are extended to non- Abelian gauge models of the strong, weak, and electromagnetic interactions. It is shown that for a large class of such theories, the strong interactions naturally conserve parity and strangeness, and possibly isospin and other quantum numbers as well. The corrections of ...

We generalize the notion of quasi-local charges, introduced by P Tod for Yang-Mills fields with unitary gauge groups, to non-Abelian gauge theories with arbitrary gauge groups, and calculate its small sphere and large sphere limits both at spatial and null infinity. We show that for semisimple ...

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 ...

We discuss space-time chaos and scaling properties for classical non-Abelian gauge fields discretized on a spatial lattice. We emphasize that there is a {open_quote}no go{close_quotes} for simulating the original continuum classical gauge fields over a long time span since there is a never ...

A system of nonrelativistic charged particles and radiation is canonically quantized in the Coulomb gauge and Maxwell's equations in quantum electrodynamics are derived. By requiring form invariance of the Schroedinger equation under a space and time dependent unitary transformation, operator gauge transformations on the quantized electromagnetic ...

The partition function of all classical spin models, including all discrete standard statistical models and all Abelian discrete lattice gauge theories (LGTs), is expressed as a special instance of the partition function of the 4D Z2 LGT. This unifies all classical spin models with apparently very different features in a single complete model. This result ...

The partition function of all classical spin models, including all discrete standard statistical models and all Abelian discrete lattice gauge theories (LGTs), is expressed as a special instance of the partition function of the 4D Z{sub 2} LGT. This unifies all classical spin models with apparently very different features in a single complete model. This ...

The partition function of all classical spin models, including all discrete standard statistical models and all Abelian discrete lattice gauge theories (LGTs), is expressed as a special instance of the partition function of the 4D Z2 LGT. This unifies all classical spin models with apparently very different features in a single complete model. This result ...

The most fundamental strings in high-density color superconductivity are the non-Abelian semisuperfluid strings which have color-gauge flux tubes but behave as superfluid vortices in the energetic point of view. We show that in addition to the usual translational zero modes, these vortices have normalizable orientational zero modes in the internal space, ...

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 ...

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, ...

Recently, an effective non-Abelian magnetic field with a topology of a monopole was shown to emerge from the adiabatic motion of multilevel atoms in spatially varying laser fields [J. Ruseckas et al., Phys. Rev. Lett. 95, 010404 (2005)]. We study this monopole in a Bose-Einstein condensate of degenerate dressed states and find that the ...

We consider the matrix quantum mechanics of /N D0-branes in the background of the 1-form RR field. It is observed that the transformations of matrix coordinates of D0-branes induce on the Abelian RR field symmetry transformations that are like those of non-Abelian gauge ...

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 ...

We investigate the ground state of interacting spin-(1)/(2) fermions in three dimensions at a finite density (?�kF3) in the presence of a uniform non-Abelian gauge field. The gauge-field configuration (GFC) described by a vector ??(?x,?y,?z), whose magnitude ? determines the gauge coupling ...

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 ...

The Bargmann-Wigner formalism is adapted to spherical surfaces embedded in three to eleven dimensions. This is demonstrated to generate wave equations in spherical space for a variety of antisymmetric tensor fields. Some of these equations are gauge invariant for particular values of the parameters characterizing them. For spheres embedded in three, four, ...

We extend the recently constructed double field theory formulation of the low-energy theory of the closed bosonic string to the heterotic string. The action can be written in terms of a generalized metric that is a covariant tensor under O( D, D + n), where n denotes the number of gauge vectors, and n additional coordinates are introduced together with a ...

We investigate the wormhole solutions that arise in the semiclassical analysis of euclidean gravity coupled to gauge fields. In 2 + 1 dimensions, "magnetic monopole " solutions can be constructed, for either abelian or nonabelian gauge fields. The low-energy physics induced by these wormholes ...

We derive the class of restricted local gauge transformations of Yang-Mills fields that leave the four-divergence of these fields invariant. They form a symmetry of the Yang-Mills equations combined with the Lorentz condition and lead, in Euclidean space-time, to the Gribov ambiguity. We make use of this symmetry in order to check ...

We describe the Hopf algebra structure of Feynman graphs for non-Abelian gauge theories and prove compatibility of the so-called Slavnov-Taylor identities with the coproduct. When these identities are taken into account, the coproduct closes on the Green�s functions, which thus generate a Hopf subalgebra.

We explore an ansatz for the QCD vacuum in the Coulomb gauge that describes gauge field fluctuations in the presence of a weakly interacting gas of Abelian monopoles. Such magnetic disorder leads to long-range correlations which are manifested through the area law for the Wilson loop. In particular we focus on the ...

Using the nonrelativisitc reduction of Coulomb gauge QCD we compute a spectrum of the low mass hybrid mesons containing a heavy quark-antiquark pair. The gluon degrees of freedom are treated in the mean field approximation calibrated to the gluelump spectrum. We discuss the role of the non-Abelian nature of the QCD Coulomb interaction ...

A new method for calculating the covariant derivative expansions is presented, particularly in Abelian gauge theories, which can be used to find derivative expansions around nonvanishing gauge field-strength tensors. We apply this method to find the {ital O}(({partial derivative}{sub {lambda}}F{sub {mu}{nu}}){sup ...

We find a complete characterization of all the supersymmetric solutions of non-Abelian gauged N = 1, d = 5 supergravity coupled to vector multiplets and hypermultiplets: the generic forms of the metrics as functions of the scalars and vector fields plus the equations that all these must satisfy. These equations are now a complicated ...

, No. 6, June 2002 Instanton and Monopole in External Chromomagnetic Fields Masahiro Fukushima, 1 Hideo cool- #12; 2 M. Fukushima, H. Suganuma and S. Chiba ing. The vacuum structure of non-Abelian gauge scale transformation #21; #22; , and (iii) the local #12; 4 M. Fukushima, H. Suganuma and S. Chiba gauge

The Bogomol'nyi-Prasad-Sommerfield (BPS) multiwall solutions are constructed in supersymmetric U(N{sub C}) gauge theories in five dimensions with N{sub F}(>N{sub C}) hypermultiplets in the fundamental representation. Exact solutions are obtained with full generic moduli for infinite gauge coupling and with partial moduli for finite ...

In a consistent heterotic string theory, the Kalb-Ramond field, which is the source of space-time torsion, is augmented by Yang-Mills and gravitational Chern-Simons terms. When compactified to 4 dimensions and in the field theory limit, such additional terms give rise to interactions with interesting astrophysical predictions like rotation of plane of ...

review briefly how and why our attention was drawn to the non�Abelian gauge theory in describing strong to the dielectric constant of the vacuum in QED is the inverse of the renormalization constant of the color gauge is a consequence of an unbroken non�Abelian gauge symmetry and the ...

We identify Moore-Read wave functions, describing non-Abelian statistics in fractional quantum Hall systems, with the instanton partition of N=2 superconformal quiver gauge theories at suitable values of masses and ?-background parameters. This is obtained by extending to rational conformal field theories the SU(2) ...

We derive maps relating currents and their divergences in non-Abelian U(N) noncommutative gauge theory with the corresponding expressions in the ordinary (commutative) description. For the U(1) theory, in the slowly-varying-field approximation, these maps are also seen to connect the star-gauge-covariant anomaly in ...

We investigate static non-Abelian black hole solutions of anti-de Sitter (AdS) Einstein-Yang-Mills-dilaton gravity, which is obtained as a consistent truncation of five-dimensional maximal gauged supergravity. If the dilaton is (consistently) set to zero, the remaining equations of motion, with a spherically-symmetric ansatz, may be derived from a ...

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 ...

A duality transformation of a non abelian Thirring model with coupling constant ? and level k to one with coupling 1/? and level (-k-2Q) is derived. At ?=1 the theory acquires two dimensional gauge invariance, which freezes the current degrees of freedom. This point is infinitely far away from the origin in field space. It serves as a ...

The simplest form of the Langevin equation for axial-gauge non-Abelian gauge theory fails to reproduce correctly a Wilson-loop calculation.

Physical decomposition of the non-Abelian gauge field has recently solved the two-decade-lasting problem of a gauge-invariant gluon spin. Here we extend this approach to gravitation and attack the century-lasting problem of a covariant gravitational energy density. Counterpart of the gauge ...

In this paper the constraints of CSDR are solved for vector gauge fields over a coset space IOSp(1/2, R)/OSp(1/2, R) including supertranslations (extended BRST transformations) and ordinary translations (rotations on the circle). The gauge-fixing action incorporates standard ghost and multiplier fields (and their ...

Gauge field theory is developed in the framework of scale relativity. In this theory, space-time is described as a nondifferentiable continuum, which implies it is fractal, i.e., explicitly dependent on internal scale variables. Owing to the principle of relativity that has been extended to scales, these scale variables can themselves become functions of ...

This article is expository in nature, outlining some of the many still incompletely understood features of higher spin field theory. We are mainly considering higher spin gauge fields in their own right as free-standing theoretical constructs and not circumstances where they occur as part of another system. Considering the problem of ...

By gauging the Maxwell spacetime algebra, the standard geometric framework of Einstein gravity with cosmological constant term is extended by adding six four-vector fields A?ab(x) associated with the six Abelian tensorial charges in the Maxwell algebra. In the simplest Maxwell extension of Einstein gravity this leads to a generalized ...

We study the spatial behavior of spin precession for traversing electrons in a two-dimensional system with both the Rashba and Dresselhaus spin-orbit (SO) couplings. Treating the two SO coupling as non-Abelian SO gauges and performing the unitary gauge transformation for the Hamiltonian, the effect of SO coupling is exactly represented ...

We investigate an extension of the non-abelian gauge theories in the paraquantum formalism of order 2 for both gauge fields and matter fields. The model, which consists in applying the Faddeev-Popov formalism on the Klein ordinary fields, gives a set of ParaBRST (PBRST) ...

We investigate an extension of the non-abelian gauge theories in the paraquantum formalism of order 2 for both gauge fields and matter fields. The model, which consists in applying the Faddeev-Popov formalism on the Klein ordinary fields, gives a set of ParaBRST (PBRST) ...

Motivated by the possibility of creating non-Abelian fields using cold atoms in optical lattices, we study two-dimensional electron gases in a lattice, subjected to such fields. In the continuum limit, the system characterized by a two-component ``magnetic flux" describes a harmonic oscillator existing in two different charge states ...

In [A. Maleknejad and M. M. Sheikh-Jabbari, arXiv:1102.1513.] we introduced an inflationary scenario, non-Abelian gauge field inflation or gauge-flation for short, in which slow-roll inflation is driven by non-Abelian gauge field minimally coupled to ...

We consider a nonrelativistic model where a Schrodinger field has been coupled to an abelian Chern-Simons term. By performing Hamiltonian analysis of the model using the Faddeev{endash}Jackiw symplectic method, we first demonstrate the closure of the Galilean algebra at the classical level in a gauge independent manner. By suitably ...

We provide a Lagrangian formulation of mathcal{N} = 4 supersymmetric mechanics describing the motion of an isospin carrying particle on conformal to hyper-K�hler spaces in a non-Abelian background gauge field. In two examples we discuss in details, this background field is identified with the ...

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 ...

We develop the background field method in the mathcal{N} = 2 , d = 3 superspace for studying effective actions in three-dimensional SYM models which live in the world-volume of various 2-branes. In particular, the low-energy effective action for the mathcal{N} = 2 quiver gauge theory with four chiral superfields in the bifundamental representation is ...

Using smearing of equilibrium lattice fields generated at finite temperature in the confined phase of SU(2) lattice gauge theory, we have investigated the emerging topological objects (clusters of topological charge). Analyzing their monopole content according to the Polyakov gauge and the maximally Abelian ...

Use of the AdS/CFT correspondence to arrive at phenomenological gauge field theories is discussed, focusing on the orbifolded case without supersymmetry. An abelian orbifold with the finite group Zp can give rise to a G = U(N)p gauge group with chiral fermions and complex scalars in different bi-fundamental ...