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

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.

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

References in corpus (4)

• Exact Solution of Induced Lattice Gauge Theory at Large $N$
• Area Law and Continuum Limit in "Induced QCD"
• 1/N Expansion and Particle Spectrum in Induced QCD
• The Problem of Large-N Phase Transition in Kazakov-Migdal Model of Induced QCD

Cited by in corpus (9)

• Fermionic Matrix Models
• Continuum Limits of ``Induced QCD": Lessons of the Gaussian Model at d=1 and Beyond
• Strings, Matrix Models, and Meanders
• A Simple Model Inducing QCD
• The Spectrum of the Kazakov Migdal-Model
• Symmetry and Observables in Induced QCD
• Large-N Quenching in the Kazakov-Migdal Model
• Itzykson-Zuber correlators from character expansion
• Eigenvalue Dynamics and the Matrix Chain