Evaluation of Observables in the Gaussian $N=\infty$ Kazakov-Migdal Model

Abstract

We examine the properties of observables in the Kazakov-Migdal model. We present explicit formulae for the leading asymptotics of adjoint Wilson loops as well as some other observables for the model with a Gaussian potential. We discuss the phase transiton in the large $N$ limit of the $d=1$ model. One of appendices is devoted to discussion of the $N=\infty$ Itzykson-Zuber integrals for arbitrary eigenvalue densities.

plain LATEX, 22pp, preprint UBC-27/93, ITEP-M5/93

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