A STUDY OF THE N=2 KAZAKOV-MIGDAL MODEL

We present a numerical study of the SU(2) Kazakov-Migdal model ('induced QCD'). We show that the model has a line of first order phase transitions terminating in a critical point. The adjoint plaquette has a clear discontinuity across the phase transition, whereas the plaquette in the fundamental representation is always zero in accordance with Elitzur's theorem. The density of small Z2 monopoles shows very little variation and is always large. We also find that the model has extra local U(1) symmetries which do not exist in the case of the standard adjoint theory. The relevance of these and other findings for the possibility of 'inducing' QCD is discussed.