Solution of gauge theories induced by fundamental representation scalars

Solution of gauge theories induced by fundamental representation scalars

Gauge theories induced by scalars in the fundamental representation of the U(Nc)gauge×U(Nf )global group are investigated in the large Nc and Nf limit. A master field is defined from bilinears of the scalar field following an Eguchi-Kawai type reduction of spacetime. The density function for the master field satisfies an integral equation that can be solved exactly in two dimensions (D = 2) and...

Gauge theories induced by bosons in fundamental representation

A lattice theory of scalar bosons in the fundamental representation of the gauge group SU(Nc) and of the global symmetry group SU(Nf) is shown to induce a standard gauge theory only at large Nf . The system is in a deconfined phase at strong scalar self-coupling and any finite Nf . The requirement of convergence of the effective gauge action imposes a lower limit on the scalar mass.

String Representation of Gauge Theories

In this talk, various approaches to the problem of evaluation of the field strength correlators in the SU(3)-gluodynamics, which play the major rôle in the Stochastic Vacuum Model, are reviewed. This is done in the framework of the effective Abelian-projected theories under the various assumptions implied on the properties of the ensemble of Abelian-projected monopoles. In particular, within th...

Nonperturbative Solution of Supersymmetric Gauge Theories *

Recent work on the numerical solution of supersymmetric gauge theories is described. The method used is SDLCQ (supersymmetric discrete light-cone quan-tization). An application to N = 1 supersymmetric Yang–Mills theory in 2+1 dimensions at large Nc is summarized. The addition of a Chern–Simons term is also discussed.

Gauge Fields , Scalars , Warped Geometry