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A Simple Model Inducing QCD | | I.Ya. Aref’eva
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16 Dec 1992 | | Journal: | Phys.Lett. B308 (1993) 347-354 | | Subject: | hep-th | | Abstract: | A simple lattice model inducing a gauge theory is considered. The model describes an interaction of a gauge field to an $N imes N$ 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 $eta_{ar {cr}}$ and $eta _{underline{cr}}$ and the region $(eta_{ar{cr}}, eta_{underline{cr}})$ separates the strong and weak regions of the model. To study the behaviour of the model at large $N$ 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. | | Source: | arXiv, hep-th/9301065 | | Services: | Forum | Review | PDF | Favorites | |
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