Symmetry and Observables in Induced QCD

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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20 pages, UBC-TP93-004

Scientific paper

We review some of the basic features of the Kazakov-Migdal model of induced QCD. We emphasize the role of $Z_N$ symmetry in determining the observable properties of the model and also argue that it can be broken explicitly without ruining the solvability of induced QCD in the infinite $N$ limit. We outline the sort of critical behavior which the master field must have in order that the model is still solvable. We also review some aspects of the $D=1$ version of the model where the partition function can be obtained analytically. To be published in the Proceedings of "Mathematical Physics, String Theory and Quantum Gravity", Rhakov, Ukraine. October, 1992

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