Phase Transitions in Induced QCD

Abstract

The variety of the phase transitions in Induced QCD are studied. Depending upon the parameters in the scalar field potential, there could be infinite number of fixed points, with different critical behavior. The integral equation for the density of the eigenvalues of the scalar field are generalized to the weak coupling phases, with the gap at the origin. We find a wide class of the massive solutions of these integral equations in the strong coupling phases, and derive an explicit eigenvalue equation for the scalar branch of the mass spectrum.

13 pages, LaTeX, no figures, LPTENS-92/22

References in corpus (7)

• Induced QCD at Large N
• Exact Solution of Induced Lattice Gauge Theory at Large $N$
• Area Law and Continuum Limit in "Induced QCD"
• Exact solution of d=1 Kazakov-Migdal induced gauge theory
• 1/N Expansion and Particle Spectrum in Induced QCD
• The Problem of Large-N Phase Transition in Kazakov-Migdal Model of Induced QCD
• The Phase Diagram of the $N=2$ Kazakov-Migdal Model

Cited by in corpus (8)

• Fermionic Matrix Models
• A Simple Model Inducing QCD
• Curvature Matrix Models for Dynamical Triangulations and the Itzykson-DiFrancesco Formula
• The Spectrum of the Kazakov Migdal-Model
• Exactly Soluble QCD and Confinement of Quarks
• Difficulties in Inducing a Gauge Theory at Large N
• Large-N Quenching in the Kazakov-Migdal Model
• Matrix Models of Induced Large-N QCD