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 ...

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 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 ...

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

We derive general expressions for the K�hler form of the L2-metric in terms of standard 2-forms on vortex moduli spaces. In the case of abelian vortices in gauged linear sigma-models, this allows us to compute explicitly the K�hler class of the L2-metric. As an application we compute the total volume of the ...

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...

We show how to generalize the coupling of n=1 super-Maxwell theory and n=1 supergravity in 10-dimensions to the case of a non-abelian gauge group. We find that the supergravity 2-form potential a/sub ..mu nu../ is coupled to the Yang-Mills gauge potential A/sub ..mu../ via the Chern-Simons ...

We show how to generalize the coupling of n=1 super-Maxwell theory and n=1 supergravity in 10-dimensions to the case of a non-abelian gauge group. We find that the supergravity 2-form potential a/sub mu nu / is coupled to the Yang-Mills gauge potential A/...

We show that the previously known off-shell nilpotent (s(a)b2 = 0) and absolutely anticommuting (sb sab + sab sb = 0) Becchi-Rouet-Stora-Tyutin (BRST) transformations (sb) and anti-BRST transformations (sab) are the symmetry transformations of the appropriate Lagrangian densities of a four (3+1)-dimensional (4D) free Abelian 2-form ...

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...

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...

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 Abelian field ...

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

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 ...

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 statistical ...

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...

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 symmetry and the ...

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

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...

For both Abelian and non-Abelian gauge theories, we find gauge transformations which map fields in the U gauge to other fields in the U gauge. These transformations are not contained in the surviving gauge symmetry after spontaneous breaking (defined as ...

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...

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 ...

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

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...

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...

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...

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)

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)

I argue that coupling the Abelian Higgs model to gravity plus a negative cosmological constant leads to black holes which spontaneously break the gauge invariance via a charged scalar condensate slightly outside their horizon. This suggests that black holes can superconduct.

I argue that coupling the Abelian Higgs model to gravity plus a negative cosmological constant leads to black holes which spontaneously break the gauge invariance via a charged scalar condensate slightly outside their horizon. This suggests that black holes can superconduct.

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

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

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 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 gauge-invariant ...

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)

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 space of ...

We give a prescription which determines the otherwise ambiguous operator for time-independent non-Abelian gauge transformation with change of topological charge.

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 ...

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.

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 ...

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 GRAVITY-GAUGE THEORY CORRESPONDENCECORRESPONDENCE ...

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 function is obtained ...

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 differential equations. The explicit third order ...

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 and asymptotic ...

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 theory may have ...

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 ...

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 ...

A non-Abelian gauge theory involving scalar fields with non-tachyonic mass terms in the Lagrangian is considered, in order to construct a finite energy density trial vacuum for this theory. The usual scalar potential arguments suggest that the vacuum of such a theory would be in the perturbative phase. However, the obvious choices for a vacuum in this ...

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 differential geometry. We apply ...

The number and the location of the monopoles observed on the lattice in QCD configurations happens to depend strongly on the choice of the gauge used to expose them, in contrast to the physical expectation that monopoles be gauge invariant objects. It is proved by use of the non abelian Bianchi identities (NABI) that monopoles are ...

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 theories due to a conflict between ...

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 theories on commutative spaces, i.e. ...

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 be due to that of the constituent spinor ...

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 transformation for the ...

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 ...

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 scalar, and that these ...

We propose a scheme to realize Zitterbewegung (ZB) with cold atoms in an Abelian vector potential. Two dark states can be created by interacting alkali-metal atoms with three coaxial Gaussian beams. Atoms moving in the subspace spanned by the two dark states feel a vector gauge potential that is nonvanishing only along the laser axis. We show that cold ...

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 particular choice of the ...

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.

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...

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.

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...

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 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 ...

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 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 ...

Presented is a detailed study of chiral-symmetry breaking in the semiclassical approximation of the two-dimensional Abelian Higgs model with massless fermions. Emphasis is on examining the consistency of the dynamical symmetry-breaking mechanism with the requirements of gauge invariance.

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 gauge theories is not ...

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; ...

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 gauge, we ...

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 degeneracy. Using exact diagonalization, we find that for ...

After briefly reviewing the problems associated with non-Abelian monopoles, we turn our attention to the development in our understanding of non-Abelian vortices in the last several years. In the U(N) model with Nf = N flavors in which they were first found, the fluctuations of the orientational modes along the vortex length and in time become strongly ...

We re-examine the work of Antoniadis et al.[1] on the apparent gauge-parameter dependence of the mass counterterm for a scalar field coupled to gravity and show that the same effect appears in a spontaneously broken abelian Higgs model. In both cases the Nielsen identities assure the gauge-parameter independence of the pole masses. ...

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 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 canonical ...

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 which preserve a ...

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 which preserve a ...

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 which preserve a ...

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 without breaking color ...

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 issue from 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 generated by the ...

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...

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 vector field. The ...

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 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 local and semilocal strings in Abelian and non-Abelian gauge theories with critical couplings always reconnect classically in collision, by using moduli space approximation. The moduli matrix formalism explicitly identifies a well-defined set of the vortex moduli parameters. Our analysis of generic geodesic motion in terms ...

We show that local and semilocal strings in Abelian and non-Abelian gauge theories with critical couplings always reconnect classically in collision, by using moduli space approximation. The moduli matrix formalism explicitly identifies a well-defined set of the vortex moduli parameters. Our analysis of generic geodesic motion in terms ...

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 realize the universal ...

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 with the ...

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.

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 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 associated with local ...

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 corrections, the same ...

We show that non-Abelian potentials acting on ultracold gases with two hyperfine levels can give rise to ground states with non-Abelian excitations. We consider a realistic gauge potential for which the Landau levels can be exactly determined: The non-Abelian part of the vector potential makes the Landau levels ...

We show that non-Abelian potentials acting on ultracold gases with two hyperfine levels can give rise to ground states with non-Abelian excitations. We consider a realistic gauge potential for which the Landau levels can be exactly determined: The non-Abelian part of the vector potential makes the Landau levels ...

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 anomaly is ...

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 invariance and finiteness ...

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 ...

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...

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.

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...

We present a brief overview of axion models associated to anomalous abelian (gauge) symmetries, discussing their main phenomenological features. Among these, the mechanism of vacuum misalignment introduced at the QCD and at the electroweak phase transitions, with the appearance of periodic potentials, responsible for the generation of a mass for these ...

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.

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...

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 ...

We give a gauge description of the adiabatic charge pumping in closed systems, both in Abelian and non-Abelian processes, and by means of asymptotic Wilson loops in a suitable parameter manifold. Our geometric formulation provides new insights into this issue, and a very simple algorithm for numerical computations. Indeed, as we show ...

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 fundamental quarks in ...

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 propagator in such a background field. The ...

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 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 ...

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 provides an explanation ...

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 provides an ...

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 ...

We use the moduli matrix approach to study the moduli space of 1/4 BPS kinks supported by vortices in the Higgs phase of N=2 supersymmetric U(N) gauge theories when non-zero masses for the matter hypermultiplets are introduced. We focus on the case of degenerate masses. In these special cases vortices acquire new orientational degrees of freedom, and become ...

We 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 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 currents and the entropy ...

The Hamiltonian for the quantized non-Abelian monopole is found using the Dirac constraint method. This Hamiltonian is correct to O(h-dash-bar) since we do not consider operator ordering. We choose the covariant background-gauge condition for the fluctuations. The collective-coordinate gauge constraints are chosen to give canonical ...

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 recently constructed three-dimensional ...

We consider a nonlinear O(3) model in 2+1 dimensions minimally coupled to Chern-Simons gauge fields. All the static, finite energy, regular solutions of the model are discussed. Through a suitable reduction of the gauge group, the given solutions are mapped into an Abelian purely magnetic vortex. A two-dimensional Euclidean action ...

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 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.

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 and ...

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 operators provide a ...

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 non-Abelian case.

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 as well as the ...

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...

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 PROPAGATOR: THE ...

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 non-abelian gauge theory. ...

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 condensate <(A? ...

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 non-Abelian ...

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 ...

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 non-perturbative Landau ...

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 introduction of a ...

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 gauge variables on the ...

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 1/(SO(3)) for 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. This paper is devoted to ...

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 first-class ones in a ...

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 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 restricted set of possible ...

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 ...

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 non-Abelian ...

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 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 transformations of the group SO(N).

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 theory belong to the pure ...

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 algebra. A partially ...

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 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 gauge that interpolates smoothly between ...

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 gauge offers a ...

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 phase. I then give ...

We study the parity-odd part of the gauge field two-point function in the effective action in three-dimensional non-Abelian gauge theory with both Higgs fields and the Chern-Simons term. It is shown that, contrary to a previous proposal, there is no hint of spontaneous parity breakdown up to one-loop level, if care is taken to turn off ...

The 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 long distances. ...

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 expanded in a power ...

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 Feynman. The new Feynman ...

The Gaussian effective potential is derived for the non-Abelian SU(2)xU(1) gauge theory of electroweak interactions. At variance with naive derivations, the Gaussian effective potential is proven to be a genuine variational tool in any gauge. The role of ghosts is discussed and the unitarity gauge is shown to be ...

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 ...

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 displayed. We also apply our formalism to ...

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 dimensions, for the new method and for standard ...

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 quantization condition for ...

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 total angular ...

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 ...

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 canonical commutation (or anticommutation) ...

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 ...

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 energy spectrum. Then we explore the effects of ...

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 ...

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 couple three internal states of an atom to a fourth common one ...

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 perform the Lorentz-covariant non-Abelian gauging of a supermembrane (M-2 brane) action. This is a generalization of our previous work based on the teleparallel formulation, in which Lorentz covariance was not manifest. We introduce the Killing supervector {xi}{sup AI} with the adjoint index I for a non-Abelian ...

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 due to a meron pair ...

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 can be rather freely ...

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 construct those explicitly. We show that the ...

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 field can be expanded in ...

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 dimensions n=3 and n=5, ...

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 fail to be ...

The finite-temperature effective potential customarily employed to describe the physics of cosmological phase transitions often relies on specific gauge choices, and is manifestly not gauge invariant at finite order in its perturbative expansion. As a result, quantities relevant for the calculation of the spectrum of stochastic gravity waves resulting from ...

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 arbitrary real winding ...

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 non-Abelian ...

We present two generic classes of supersymmetric solutions of N=2, d=4 supergravity coupled to non-Abelian vector supermultiplets with a gauge group that includes an SU(2) factor. The first class consists of embeddings of the 't Hooft-Polyakov monopole and in the considered model is a globally regular, asymptotically flat spacetime. The other ...

We study a family of non-Abelian topological models in a lattice that arise by modifying the Kitaev model through the introduction of single-qudit terms. The effect of these terms amounts to a reduction in the discrete gauge symmetry with respect to the original systems, which corresponds to a generalized mechanism of explicit symmetry breaking. The ...

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 Meissner effect. A mean-field calculation ...

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 ...

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 in the celebrated ...

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 colliders. The results illuminate many ...

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 formulation and BRS ...

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 exponents are ...

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 compact U(1) gauge ...