Microscopic spectral density in random matrix models for chiral and diquark condensation

Abstract

We examine random matrix models of QCD which are capable of supporting both chiral and diquark condensation. A numerical study of the spectral densities near zero virtuality shows that the introduction of color in the interactions does not alter the one-body results imposed by chiral symmetry. A model with three colors has the spectral density predicted for the chiral ensemble with a Dyson index beta = 2; a pseudoreal model with two colors exhibits the spectral density of the chiral ensemble with beta = 1.

Comments: 6 pages, 3 eps figures, uses revtex4 and graphicx. v2 : minor editions, Fig. 3 shows relative deviations rather than absolute. Version to appear in PRD