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

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

1992-08-17

arxiv.org/abs/hep-th/9208045v2

Mod.Phys.Lett.A8:209-224,1993

Physics

High Energy Physics

High Energy Physics - Theory

17 pages (1 Latex figure), ITEP-YM-6-92 The figure is replaced by printable one

Scientific paper

10.1142/S0217732393000210

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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