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arXiv · hep-th/9208045

Large-N Reduction, Master Field and Loop Equations in Kazakov-Migdal Model

Yu. Makeenko
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Abstract

I study the large-N reduction a la Eguchi--Kawai in the Kazakov--Migdal lattice gauge model. I show that both quenching and twisting prescriptions lead to the coordinate-independent master field. I discuss properties of loop averages in reduced as well as unreduced models and demonstrate those coincide in the large mass expansion. I derive loop equations for the Kazakov--Migdal model at large N and show they are reduced for the quadratic potential to a closed set of two equations. I find an exact strong coupling solution of these equations for any D and extend the result to a more general interacting potential.

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Yu. Makeenko. 1992-08-19. Large-N Reduction, Master Field and Loop Equations in Kazakov-Migdal Model. https://doi.org/10.1142/s0217732393000210

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