Lowest eigenvalues of the Dirac operator for two color QCD at finite density

TL;DR

This paper studies the eigenvalue spectrum of the Dirac operator in two-color QCD at finite density, showing universal behavior in certain phases and deviations in others, with implications for understanding QCD phase transitions.

Contribution

It provides a detailed analysis of the Dirac eigenvalue spectrum across different phases of two-color QCD at finite density, highlighting where random matrix theory applies and where it does not.

Findings

Low-lying Dirac spectrum matches RMT predictions in the strong-coupling phase.

Universal spectral behavior is observed up to the temperature phase transition.

No universality in the microscopic spectral density in the chirally symmetric phase.

Abstract

We investigate the eigenvalue spectrum of the staggered Dirac matrix in full QCD with two colors and finite chemical potential. Along the strong-coupling axis up to the temperature phase transition, the low-lying Dirac spectrum is well described by random matrix theory (RMT) and exhibits universal behavior. The situation is discussed in the chirally symmetric phase and no universality is seen for the microscopic spectral density.