A Simple Model Inducing QCD
arXiv:hep-th/9301065 · doi:10.1016/0370-2693(93)91296-Y
Abstract
A simple lattice model inducing a gauge theory is considered. The model describes an interaction of a gauge field to an complex matrix scalar field transforming as a field in the fundamental representation. In contrast to the Kazakov-Migdal model the model contains only the linear interaction between scalar and gauge lattice fields. This model does not suffer from extra local U(1) symmetries. In an approximation of a translation invariant master field the large N limit of the model is investigated. At large N the gauge fields can be integrated out yielding an effective theory describing an interaction of eigenvalues of the master field. The reduced model exhibits phase transitions at the points and and the region separates the strong and weak regions of the model. To study the behaviour of the model at large in more systematic way the quenched momentum prescription with constraints for treating the large N limit of gauge theories is used. With the help of the technique of orthogonal polynomials nonlinear equations describing the large N limit of the reduced model {\it with quenching} are presented.
LaTex, 10 pages
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