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

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...

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

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...

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 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 ...

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...

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 the Polyakov ...

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

We show that loop wave equations in non-Abelian Chern-Simons gauge theory are exactly solved by a conformally invariant topological fermionic string theory.

A simple and systematic method for the calculation of group-theoretic weights associated with Feynman diagrams in non-Abelian gauge theories is presented. Both classical and exceptional groups are discussed. (AIP)

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 ...

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 ...

We show that the renormalized vacuum expectation value of the Wilson loop for topologically massive abelian gauge theory in bbfR(sup 3) can be defined so that its large-mass limit be the renormalized vaccum expectation value of the Wilson loop for abelian...

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)

Within the context of an Abelian Gauge Theory, phase transition driven by the spontaneous generation of domain walls is discused. The critical temperature is calculated semiclassically. The results are very close to those obtained via the effective potent...

seemed not to be fundamental . I explain in more detail below. #12;GAUGE THEORY (Non Abelian) Classically-abelian guage theories can (depending on details) behave very different from their classical counterparts Let usTHE GRAVITY-GAUGE THEORYTHE ...

I review current theoretical evidence for the coexistence of asymptotic freedom and quark confinement in a non-Abelian gauge theory of the strong interaction.

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 ...

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 ...

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 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 ...

Gauge conditions in non-Abelian gauge theories are considered studying unitarity with a given Lagrangian with various linear gauge conditions and using the usual formalism for constructing the fictitious Lagrangian. The results show that even with the fulfillment of certain requirements the ...

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 ...

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 ...

A new analytical approach based on the use of the dynamical equations in lattice gauge theories (LGT) is presented. The new method is used to discuss the phase structure of abelian lattice gauge systems.

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...

The Abelian charges in a non-Abelian Yang-Mills-Dirac theory arising from the reduction of the structure group are studied. They are defined by the concept of the stabilizer gauge transformations. Their properties are investigated. The relationship between the whole class of stabilizer and the stratification of the ...

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 ...

After some general remarks on the efficiency of various Monte Carlo algorithms for gauge theories, the calculation of the asymptotic freedom scales of SU(2) and SU(3) gauge theories in the absence of quarks was discussed. There are large numerical factors...

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 BRST invariance of theories with local space-time symmetries, such as the reparametrization-invariant point-particle or d-dimensional general relativity, and of theories with local internal symmetries, like abelian and non-abelian gauge theories, can ...

We show that the introduction of massless fermions in an abelian gauge theory in 2+1 dimensions does not lead to any parity anomaly despite a non-commutativity of limits in the structure function of the odd part of the vacuum polarization tensor. However, parity anomaly does exist in non-abelian ...

Gauge theories on q-deformed spaces are constructed using covariant derivatives. For this purpose a ''vielbein'' is introduced, which transforms under gauge transformations. The non-Abelian case is treated by establishing a connection to gauge ...

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 ...

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 fields. It shows that ...

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.

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 ...

Recently an interesting idea has been put forward by Robinson and Wilczek that the incorporation of quantized gravity in the framework of Abelian and non-Abelian gauge theories results in a correction to the running of gauge coupling and, as a consequence, increase the grand unification scale ...

The solutions of the classical equations of motion on a periodic lattice are found which correspond to abelian single and double Dirac sheets. These solutions exist also in non-abelian theories. Possible applications of these solutions to the calculation ...

A formal proof and explicit check of unitarity for non-Abelian gauge theories with a particular bilinear gauge condition are presented. The theories are constructed within the Lagrange-multiplier formalism. It is concluded that the usual formalism for non-Abelian ...

An abelian gauge theory with violation of P and T symmetries, is constructed other features of usual spinor quantum electrodynamics are maintained. The theory is applied to some scattering processes with polarized and unpolarized electrons. (Atomindex cit...

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 ...

V A Fock, in 1926, was the first to have the idea of an Abelian gradient transformation and to discover that the electromagnetic interaction of charged particles has a gradient invariance in the framework of quantum mechanics. These transformation and invariance were respectively named Eichtransformation and Eichinvarianz by H Weyl in 1929 (the German verb zu eichen means to ...

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...

A general, regularization-scheme-independent proof of the nonrenormalization theorem for the anomaly of a U(1) axial current in a renormalizable gauge theory is presented. The gauge group may be an arbitrary compact Lie group. The validity of the theorem is traced back to some finiteness properties allowing for a well defined but ...

The gauge dependence of the effective action of quantum non-Abelian gauge theories is studied. An alternative effective action is proposed and its equivalence with the usual effective action is discussed, as well as the equivalence with 't Hooft's effective action.

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 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.

We show that the non-Abelian magnetic monopole defined in a gauge-invariant way in SU(3) Yang-Mills theory gives a dominant contribution to confinement of the fundamental quark, in sharp contrast to the SU(2) case.

The abelian generalization of QED sub 2 to include SU(M) flavor and diagonal SU(N) color is considered. The operator solutions and confinement aspects of these models are discussed in detail for the case of massless and massive fermions. For a non-vanishi...

The confinement scenario in Maximally Abelian gauge (MAG) is based on the concepts of Abelian dominance and of dual superconductivity. Recently, several groups pointed out the possible existence in MAG of ghost and gluon condensates with mass dimension 2, which in turn should influence the infrared behavior of ghost and gluon ...

An SO(3) non-Abelian gauge theory is introduced. The Hamiltonian density is determined and the constraint structure of the model is derived. The first-class constraints are obtained and gauge-fixing constraints are introduced into the model. Finally, using the constraints, the Dirac brackets can be determined and a ...

The method of Parisi and Wu of quantizing gauge theories (stochastic quantization) is reformulated using path integrals. We first review how the gauge fixing enters through the initial condition of the associated Langevin equation. We then prove, nonperturbatively, how the contribution of the Faddeev-Popov determinant is naturally ...

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...

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...

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 ...

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 ...

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 gauge symmetry by introducing an auxiliary ...

I review recent progress in the construction and classification of maximally supersymmetric theories with non-abelian gauge groups. The algebraic framework is based on the underlying exceptional symmetry groups. This has applications for supergravity theories describing flux compactifications as well as for the ...

We defined, for the anomalous Abelian gauge theory, a new symplectic structure so as to accommodate for the Fujikawa Jacobian that will appear in the path-integral formalism of the theory. This symplectic structure will in turn induce the equal-time commutator anomalies that were obtained via other means.

Abelian gauge theories are quantized in a geometric representation that generalizes the loop representation and treats electric and magnetic operators on the same footing. The usual canonical algebra is turned into a topological algebra of nonlocal operators that resembles the order-disorder dual algebra of �t Hooft. These dual ...

We quantize the (1+1)-dimensional Abelian gauge theory on cylinder to illustrate our idea how to extract global modes of topological orign. A new analysis is made for the (2+1)-dimensional Maxwell theory on T/sup 2/(torus) x R(time). The dynamics is expli...

this method in order to enforce Gauss's law as a classical equation in a non-abelian gauge theory. I argue of classical behavior in quantum #12;eld theory [3, 4]. The formalism developed here has many similar- ities this method in order to treat Gauss's law as a classical equation in a ...

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 ...

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 ...

The method for calculating the commutator anomalies in anomalous Abeliangauge theories proposed by Yeung and Yu is reanalyzed based on the theory ofthe noncanonical transformation. Their method is easily extended to thenon-Abelian theory, but in general it does not lead to the correct Schwingerterm.

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 ...

We discuss the renormalization of spontaneously broken gauge theories in a larg class of renormalization gauges which includes the unitary gaugc as a singular limit. Particular attention is paid to the constraints of gauge invariance on the renormalization program and to the gauge ...

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. ...

We give an argument for deriving analytically the infrared Abelian dominance in a gauge-invariant way for the Wilson loop average in SU(2) Yang-Mills theory. In other words, we propose a possible mechanism for realizing the dynamical Abelian projection in the SU(2) gauge-invariant manner ...

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 ...

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 ...

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].

We consider the use of complex stochastic equations in the evaluation of ensemble averages. For a certain class of functions, it is shown how to relate averages over real parameters to those over complex degrees of freedom. We apply these techniques to the Abelian lattice gauge theory and discuss its extension to the ...

A new, adiabatic phase choice is adopted for the overlap in the case of an infinite volume, noncompact Abelian chiral gauge theory. This gauge choice obeys the same symmetries as the Brillouin-Wigner (BW) phase choice, and, in addition, produces a Wess-Zumino functional that is linear in the ...

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...

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.

The gravitational corrections to the gauge coupling constants of Abelian and non-Abelian gauge theories have been shown to diverge quadratically. Since this result will have interesting consequences, this has been analyzed by several authors from different approaches. We propose to discuss this ...

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 ...

We give a theoretical framework for defining and extracting non-Abelian magnetic monopoles in a gauge-invariant way in SU(N) Yang-Mills theory to study quark confinement. Then we give numerical evidences that the non-Abelian magnetic monopole defined in this way gives a dominant contribution to confinement of ...

We develop a Hamiltonian formulation of the BRST method for quantizing constrained systems. The rigid rotor is studied in detail and the similarity of this simple quantum system to a guage theory is explicitly demonstrated. The system is quantized as a gauge theory and then the similarity between BRST and the Gupta--Bleuler approach is ...

The authors suggest a gauge-invariant and a relativistic-covariant operator canonical construction of the path integral that is useful for considering the problems whose solutions in conventional approaches depend on the gauge choice. They consider the fermionic Green function, gauge ambiguities and infrared behavior of ...

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 ...

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 ...

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 ...

The structure of the isolated static monopolies in the maximum Abelian projection of the SU(2) gluodynamics on the lattice studied. The standard parametrization of the coupling matrix was used by determining the maximum Abelian projection of the R functional maximization relative to all scale transformations. The monopole radius R approx = 0.06 fm is ...

The gauge/string theory duality in curved space is discussed mainly using a non-Abelian conformal N = 4 supersymmetric gauge theory and the theory of a closed superstring in the AdS5 � S5 metric as an example. It is shown that in the supergravity approximation, string ...

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 gauge ...

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 ...

is essentially a supersymmetric version of general relativity coupled to a supersymmetric gauge theory. Although to explain what we observe in nature starting from these principles. The quest for a theory of everything is primordially an effort find a single underlying principle. At the moment there are two complementary ...

A discussion is presented on the renormalization of Wilson operators, which are relevant for the radiative corrections to hadrons, in covariant Lorentz gauges, for a class of non-Abelian gauge theories. For the anomalous dimensions of the operators, which determine the asymptotic behavior of the radiative ...

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 construct gauge-invariant, conserved electric and magnetic charges in gauge theories of the Yang-Mills type. Global gauge transformations play a central role in defining these charges. As an illustration, we demonstrate explicitly how this definition of charges provides a finer classification than ..pi../sub ...

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 ...

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 ...

Gauge fixing in the non-perturbative domain of non-Abelian gauge theories is obstructed by the Gribov�Singer ambiguity. To compare results from different methods it is necessary to resolve this ambiguity explicitly. Such a resolution is proposed using conditions on correlation functions for a family of ...

After some general remarks on the efficiency of various Monte Carlo algorithms for gauge theories, the calculation of the asymptotic freedom scales of SU(2) and SU(3) gauge theories in the absence of quarks was discussed. There are large numerical factors between these scales when defined in terms of the bare ...

In this lecture series 1 presents recent developments in perturbation theory methods for gauge theories for processes with many partons. These techniques and results are useful in the calculation of cross sections for processes with many final state partons which have applications in the study of multi-jet phenomena in high-energy ...

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 ...

We consider a large class of models where the SU(5) gauge symmetry and a Froggatt-Nielsen (FN) Abelian flavor symmetry arise from a U(5)xU(5) quiver gauge theory. An intriguing feature of these models is a relation between the gauge representation and the horizontal charge, leading to a ...

Formal proofs of the covariance of gauge theories in two-dimensional space--time are questionable in the Coulomb gauge in view of the highly singular nature of the inverse Laplacian. It is shown that such considerations do in fact destroy the covariance of the Schwinger model as well as that of the more general ...

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 ...

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 decoupling structure the scalars of the ...

I apply the Born-Oppenheimer approximation to a gauge theory and show how to reconcile it with gauge invariance. Wave functionals used in the adiabatic approximation necessarily break gauge invariance, but this symmetry can be restored after exploiting a novel local symmetry related to transformations of the Berry ...

We consider a lattice discretization of a covariantly gauge-fixed Abelian gauge theory. The gauge fixing is part of the action defining the theory, and we study the phase diagram in detail. As there is no BRST symmetry on the lattice, counterterms are needed, and we ...

We consider the hydrodynamic regime of gauge theories with general triangle anomalies, where the participating currents may be global or gauged, abelian or non-abelian. We generalize the argument of arXiv:0906.5044, and construct at the viscous order the stress-energy tensor, the charge ...

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 the Abelian QED theory in the light-front as well as the one-loop #12;-function for the non-Abelian Yang for the light-front gauge propagator. 3. Conclusions We have shown that at the classical level we can introduce################ arXiv:hep�th/0408135 v1 18 Aug 2004 THE LIGHT FRONT GAUGE ...

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 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" ...

We investigate the gauge boson propagator in the three dimensional compact Abelian gauge model in the Landau gauge at finite temperature. The presence of the monopole plasma in the confinement phase leads to the appearance of an anomalous dimension in the momentum dependence of the propagator. The anomalous ...

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 fields enforce the ...

the new monopole creation opera- tor is the order parameter in theories with matter #12;elds. For simplicity investigation of the new monopole creation operator in non-Abelian gauge theories. 2. MONOPOLE OPERATORS The original version of the gauge invariant monopole creation operator [3] in ...

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 ...

We review the phenomenology of the dimension d = 2 vacuum condensate in pure gauge theories, which is the vacuum expectation of the minimal value of the gauge potential squared. Both Abelian and non-Abelian cases are discussed. In case of the compact U(1) the non-perturbative part of 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.

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. ...

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...

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...

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.

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 with the stochastic averages already taken ...

The naive Coulomb gauge Feynman rules in non-abelian gauge theory give rise to ambiguous integrals, in addition to the usual ultraviolet divergences. Generalizing the work of Cheng and Tsai, these ambiguities are resolved to all orders in perturbation theory, by defining a ...

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 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 ...

The infrared structure of non-Abelian gauge theories is studied explicitly in the lowest nontrivial order in the coupling constant for fermion-fermion and fermion-gauge-boson scattering cross sections. The cancellation of the infrared-divergent terms is realized in physically sensible cross sections when they are ...

We have found two sets of Feynman rules for non-Abelian gauge theories in which ghosts do not appear. These Feynman rules are derived from the canonical formalism which has the advantage (over the path-integral formalism) of the propagators having explicit boundary conditions. These boundary conditions are not necessarily those of ...

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 ...

In this paper, we suggest a new acceleration method for Abelian gauge theories based on linear transformations to variables which weight all length scales equally. We measure the autocorrelation time for the Polyakov loop and the plaquette at {beta}=1.0 in the U(1) gauge theory in four ...

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 with which it has ...

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 ...

We explore canonical quantization in the axial gauge, with special reference to the problems of (i) additional gauge fixing, and (ii) the infrared infinities which occur in eliminating the dependent variables. We show that the freedom inherent in (i) permits the removal of (ii), resulting in a finite Hamiltonian generating the proper equations of motion. ...

the structure group of an SU(2) lattice gauge theory (LGT) to a physically equivalent Abelian LGT with a U(1) structure group [6]. The equivariant BRST sym� metry of the partially gauge�fixed LGT was proven to be valid gauge�fixed SU(2)�LGT to the continuum using the equivariant BRST ...

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 ...

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 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.

The Hamiltonian formulation of the /ital Z/(2) gauge theory at spatial dimension 2 is analyzed in gauge-invariant geometric terms by working in the loop-labeled basis of the /ital C/ representation. A consistent behavior of physical quantities near the critical point and a reasonable estimation of the transition point and the critical ...

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 ...

In the context of the equivalent-boson method a large variety of quark- gluon theories are studied in two dimensions. A number of simple results are obtained, including the fact that gluon inteactions (Abelian and non-Abelian) leave most of the physical currents free (at zero quark mass). (AIP)

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

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 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 ...

We derive the various forms of BRST symmetry using Batalin-Fradkin-Vilkovisky approach in the case of Abelian 2-form gauge theory. We show that the so-called dual BRST symmetry is not an independent symmetry but the generalization of BRST symmetry obtained from the canonical transformation in the bosonic and ghost sector. We further ...

There is a subtle difference between the open string dynamics determined by the original dual resonance models and that determined by D-brane constructions within critical closed string theory. For instance, in contrast to the former, the latter have massless scalars in addition to the massless gluon shared by both. We introduce and explain the concept 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 ...

The usual formalism for non-Abelian gauge theories is not completely satisfactory. Calculations show that the usual formalism for Weinberg's unified gauge theory with a bilinear gauge condition leads to violation of unitarity, contrary to general formal ...

We show that the N=1 supergravity theories in ten dimensions with gauge groups U(1){496} and E{8}�U(1){248} are not consistent quantum theories. Cancellation of anomalies cannot be made compatible with supersymmetry and Abelian gauge invariance. Thus, in ten dimensions all supersymmetric ...

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 ...

Applying the dynamic shooting method, we proved the existence of nontopological radially symmetric n-vortex solutions to the self-dual equation in non-Abelian Chern-Simons gauge theory with a {Phi}{sup 2}-type potential. Moreover, we obtained all possible radially symmetric nontopological bare (or 0-vortex) solutions in the ...

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 fermions is suppressed over ...

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 ...

Investigations into the nature of possible mechanisms for the confinement of quarks and gluons are reported. Flux patterns in lattice gauge theories are studied with Monte Carlo techniques, and comparisons are made between Abelian and non-abelian theories. The flux patterns associated 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 Weyl-Dirac equations using the explicit spherical symmetry ...

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 magnetic monopole loop ...

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. ...

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 ...

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 ...

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 can be implemented may ...

In this work, we propose a new non-Abelian generalization of the Born Infeld Lagrangian. It is based on a geometrical property of the Abelian Born Infeld Lagrangian in its determinantal form. Our goal is to extend the Abelian second-type Born Infeld action to the non-Abelian form preserving this geometrical ...

An infinite class of nonplanar skeleton graphs is found to vanish in any non-Abelian gauge theory. Thus, the dominance of planar graphs is enhanced, particularly in processes where some momenta are very large.

The t-expansion is a nonperturbative calculational tool recently developed for Hamiltonian systems. A short review of the method is given. It is followed by a summary of applications to two dimensional spin systems and to four dimensional non-abelian lattice gauge theories. 5 refs., 3 figs.

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 generalized renormalization group equations are used to analyze the dynamical mechanism of particle mass generation in the Cornwall--Norton model with and without cutoff. The solutions with nonzero physical masses of two fermions m sub 1 , m sub 2 and...

The radiative correction to the topological mass in a (2+1)-dimensional Abelian gauge theory is shown to vanish at two loops. We consider the general case of a nonzero tree-level topological mass, thus extending some recent work.

A shortcut is presented to derive the ghost propagator of a non-Abelian gauge theory in the background of a single magnetic string. The technique takes advantages of the fact that in cylindrical coordinates the presence of a magnetic string of strength (b...

A path-integral measure for left-handed fermions is constructed for non-Abelian gauge theories, and its properties under unitary transformations are discussed.

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...

In searching for tools to describe physical systems consisting of hadronic matter at high temperature, it is worthwhile to consider the application of classical chromodynamics. Classical non-Abelian gauge theories have been extensively studied and continu...

The concepts of instantons, multiple vacua and vacuum tunnelling are formulated in the canonical framework. This formalism enables one to give explicit expressions for previously unconsidered relations between the physical and unphysical sectors of the in...

OF 3D LGT IN THE PLAQUETTE FORMULATION OLEG BORISENKO, SERGEI VOLOSHIN Institute for Theoretical. Plaquette formulation Lattice gauge theory (LGT) can be formulated in many equivalent ways. The original the dual representation for abelian LGT's was constructed in [2]. Extensions to nonabelian groups have been

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 ...

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 formed there. The ideas ...

The standard model of low energy (approximately < 10/sup 14/ GeV) physics is based on the groups SU(3) x SU(2) x U(1), a combination of Quantum Chromodynamics and the Glashow-Weinberg-Salam model of the weak interaction. These theories are both non-Abelian gauge theories. A test of one key component of these ...

A general method for determining the target-space symmetries, both broken and unbroken, of string theory is presented. Symmetries are shown to be consequences of a class of automorphisms of the world-sheet operator algebra. This formalism is used to prove general coordinate invariance, two-form gauge invariance, and non-Abelian ...

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- antiquark pairs with a ...

behavior of non- Abelian monopoles depends on the massless avors in the original theory, in an essential supersymmetric gauge theories, has recently been clari#12;ed. We discuss here the main lessons to be learned from gauge theories have remained a rather obscure object ...

As a step towards an understanding of the infrared structure of non-Abelian gauge theories, we have calculated the anomalous magnetic moment of a colored quark up to fourth-order in the quark-gluon coupling constant g. The fourth-order result is infrared divergent. The infrared divergence is governed by the one loop contribution to the ...

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 ...

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 ...

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 ...

I extend the Bloch--Nordsieck idea to show that in the lowest nontrivial order of radiative correction the fermion--fermion and gauge-meson--fermion scattering rates are finite, provided that they are averaged over the initial and summed over the final internal spin states. Questions of the physical gauge coupling and infrared slavery are ...

I extend the Bloch-Nordsieck idea to show that in the lowest nontrivial order of radiative correction the fermion-fermion and gauge-meson-fermion scattering rates are finite, provided that they are averaged over the initial and summed over the final internal spin states. Questions of the physical gauge coupling and infrared slavery are discussed.

Conformally covariant quantization of non-Abelian gauge theory is presented, and the invariant propagators needed for perturbative calculations are found. The vector potential acquires a richer gauge structure displayed in the larger Gupta--Bleuler triplet whose center is occupied by conformal QED. Path integral ...

We study a simple extension of the minimal supersymmetric standard model in which the Abelian sector of the theory consists of B-L and right-handed isospin. In the minimal model this Abelian gauge structure is broken to the standard model hypercharge gauge group by nonvanishing vacuum ...

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 ...

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 ...

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 ...

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 ...

-matrix elements and non-abelian tachyon DBI action Kazem Bitaghsir-Fadafan and Mohammad R. Garousi Department tachyons and one gauge #12;eld in superstring theory. We show that the leading order terms of the expansion are in perfect agreement with the non-abelian generalization of the tachyon DBI action in which ...

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 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, ...

Faddeev and Niemi (FN) have introduced an abelian gauge theory which simulates dynamical abelianization in Yang-Mills theory (YM). It contains both YM instantons and Wu-Yang monopoles and appears to be able to describe the confining phase. Motivated by the meson degeneracy problem in dynamical ...

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 ...

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 the Aharonov-Casher phase. Applying on an AB ring this ...

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 field ...

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 ...