We study dynamical gauge symmetry breaking via compactified space in the framework of SU(N) gauge theory in M × S (d = 4, 5, 6) space-time. In particular, we study in detail the gauge symmetry breaking in SU(2) and SU(3) gauge theories when the models contain both fundamental and adjoint matter. As a result, we find that any pattern of gauge symmetry breaking can be realized by selecting an app...

The physical phase space in gauge systems is studied. Effects caused by a nonEuclidean geometry of the physical phase space in quantum gauge models are described in the operator and path integral formalisms. The projection on the Dirac gauge invariant states is used to derive a necessary modification of the Hamiltonian path integral in gauge theories of the Yang-Mills type with fermions that ta...

We consider the simplicity of C?-algebra associated to an arbitrary weakly left-resolving labeled space (E,?,?), where ? is smallest nondegenerate accommodating set. classify all gauge-invariant ideals C?(E,?,?) and characterize minimality (E,?,?) in terms ideal structure C?(E,?,?). Using these results, we prove that simple if only strongly cofinal satisfies condition (L), for any A???{?} B??, ...

We study gauge fixing in the generalized Gupta-Bleuler quantization. In this method physical states are defined to be simultaneous null eigenstates of a set of quantum invariants. We apply the method to a solvable model proposed by Friedberg, Lee, Pang and Ren and show that no Gribov-type copies appears by construction. Gauge fixing is significant in quantization of gauge theories. Gribov ambig...

‎The purpose of this paper is to introduce a new mapping for a finite‎ ‎family of accretive operators and introduce an iterative algorithm‎ ‎for finding a common zero of a finite family of accretive operators‎ ‎in a real reflexive strictly convex Banach space which has a‎ ‎uniformly G^ateaux differentiable norm and admits the duality‎ ‎mapping $j_{varphi}$‎, ‎where $varphi$ is a gauge function ...

According to a recent conjecture, the moduli space of the heterotic conformal field theory on a G ⊂ ADE singularity of an ALE space is equivalent to the moduli space of a pure N = 4 supersymmetric three-dimensional gauge theory with gauge group G. We establish this relation using geometric engineering of heterotic strings and generalize it to theories with non-trivial matter content.

There is a Nahm transform for two-dimensional gauge fields which establishes a one-to-one correspondence between the orbit space of U (N) gauge fields with topological charge k defined on a torus and that of U (k) gauge fields with charge N on the dual torus. The main result of this paper is to show that a similar duality transform cannot exist for CP N instantons. This fact establishes a signi...

We review recent results on solitons in supersymmetric (SUSY) non-Abelian gauge theories, focusing on our papers: hep-th/0405194, hep-th/0405161, and hep-th/0404198. We construct the BPS multi-wall solutions in supersymmetric U(NC) gauge theories in five dimensions with NF(> NC) hypermultiplets in the fundamental representation. Exact solutions are obtained with full generic moduli for infinite...

Spin networks are natural generalization of Wilson loops functionals. They have been extensively studied in the case where the gauge group is compact and it has been shown that they naturally form a basis of gauge invariant observables. Physically the restriction to compact gauge group is enough for the study of Yang-mills theories, however it is well known that non-compact groups naturally ari...

We investigate the structure of the configuration space of gauge theories and its description in terms of the set of absolute minima of certain Morse functions on the gauge orbits. The set of absolute minima that is obtained when the background connection is a pure gauge is shown to be isomorphic to the orbit space of the pointed gauge group. We also show that the stratum of irreducible orbits ...