Phase Transitions in Induced QCD

TL;DR

This paper investigates the diverse phase transitions in Induced QCD, analyzing fixed points, eigenvalue densities, and mass spectra across different coupling regimes to deepen understanding of its critical behavior.

Contribution

It introduces a generalized integral equation for eigenvalue densities and derives explicit mass spectrum equations, expanding the analysis of phase transitions in Induced QCD.

Findings

Multiple fixed points with distinct critical behaviors identified.

Generalized integral equations applicable to weak coupling phases.

Explicit eigenvalue equations for scalar mass spectrum derived.

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.