The Problem of Large-N Phase Transition in Kazakov-Migdal Model of Induced QCD

Abstract

We study the lattice gauge model proposed recently by Kazakov and Migdal for inducing QCD. We discuss an extra local Z_N which is a symmetry of the model and propose of how to construct observables. We discuss the role of the large-N phase transition which should occur before the one associated with the continuum limit in order that the model describes continuum QCD. We formulate the mean field approach to study the large-N phase transition for an arbitrary potential and show that no first order phase transition occurs for the quadratic potential.

10 pages, ITEP-YM-5-92

References in corpus (8)

• Induced QCD at Large N
• The Multicritical Kontsevich-Penner Model
• Exact Solution of Induced Lattice Gauge Theory at Large $N$
• A Hint on the External Field Problem for Matrix Models
• Induced QCD and Hidden Local ZN Symmetry
• Exact solution of d=1 Kazakov-Migdal induced gauge theory
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Cited by in corpus (16)

• Fermionic Matrix Models
• Continuum Limits of ``Induced QCD": Lessons of the Gaussian Model at d=1 and Beyond
• Large-N Reduction, Master Field and Loop Equations in Kazakov-Migdal Model
• Kazakov--Migdal Model with Logarithmic Potential and the Double Penner Matrix Model
• Phase Transitions in Induced QCD
• Infinite Tension Strings at D>1
• A Simple Model Inducing QCD
• Curvature Matrix Models for Dynamical Triangulations and the Itzykson-DiFrancesco Formula
• Difficulties in Inducing a Gauge Theory at Large N
• Gross-Witten-Wadia Phase Transition in Induced QCD on the Graph
• D-dimensional Induced Gauge Theory as a Solvable Matrix Model
• Symmetry and Observables in Induced QCD
• Large-N Quenching in the Kazakov-Migdal Model
• The Spatial Dynamics in Kazakov--Migdal Model
• Local symmetry in the Kazakov-Migdal gauge model
• Itzykson-Zuber correlators from character expansion