Exact results for two-color QCD at low and high density

TL;DR

This paper uses a random matrix theory to analyze two-color QCD at both low and high densities, revealing different symmetry breaking patterns and enabling extraction of the BCS gap from spectral data.

Contribution

It introduces a unified random matrix model that describes two-color QCD across different density regimes, capturing distinct symmetry breaking phenomena.

Findings

Spectral density calculations match lattice data

Identification of BCS gap from spectral analysis

Different chiral symmetry breaking patterns at low and high density

Abstract

We discuss a random matrix theory that was originally constructed to describe two-color QCD at low density in the phase with a nonzero chiral condensate. With a particular choice of a parameter, the same random matrix theory also describes the high-density phase of two-color QCD. In this phase a BCS superfluid of diquark pairs is formed, and the pattern of chiral symmetry breaking is very different from that at low density. Analytical results for the spectral density obtained from this random matrix theory allow for the extraction of the BCS gap from lattice data.