Large-N Quenching in the Kazakov-Migdal Model

Details Large-N Quenching in the Kazakov-Migdal Model Large-N Quenching in the Kazakov-Migdal Model

1993-01-19

arxiv.org/abs/hep-th/9301081v1

Phys.Lett. B308 (1993) 340-346

Physics

High Energy Physics

High Energy Physics - Theory

LaTex, 9 pages

Scientific paper

10.1016/0370-2693(93)91295-X

To study the behavior of the Kazakov-Migdal at large N the quenched momentum prescription with constraints for treating the large N limit of gauge theories is used. It is noted that it leads to a quartic dependence of an action on unitary matrix instead of a quadratic dependence discussed in previous considerations. Therefore the model is not exactly solvable in the weak coupling limit. An approximation procedure for investigation of the model is outlined. In this approximation an indication to a phase transition for $d<4,8$ with $\beta_{cr}=\frac{1}{d-4,8}$ is obtained.

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