Density profiles of small Dirac operator eigenvalues for two color QCD at nonzero chemical potential compared to matrix models

TL;DR

This paper studies the eigenvalue spectrum of the Dirac operator in two-color QCD at finite chemical potential, comparing numerical results to matrix model predictions and analyzing symmetry class differences.

Contribution

It provides a detailed comparison of eigenvalue profiles with matrix model predictions for two-color QCD at nonzero chemical potential.

Findings

Eigenvalue profiles match complex chiral Gaussian Symplectic Ensemble predictions

Eigenvalues exhibit level repulsion from real and imaginary axes

Differences from three-color QCD symmetry class are identified

Abstract

We investigate the eigenvalue spectrum of the staggered Dirac matrix in two color QCD at finite chemical potential. The profiles of complex eigenvalues close to the origin are compared to a complex generalization of the chiral Gaussian Symplectic Ensemble, confirming its predictions for weak and strong non-Hermiticity. They differ from the QCD symmetry class with three colors by a level repulsion from both the real and imaginary axis.