Correlations for non-Hermitian Dirac operators: chemical potential in three-dimensional QCD

TL;DR

This paper uses random matrix models to analytically compute eigenvalue correlations of non-Hermitian Dirac operators in three- and four-dimensional QCD with chemical potential, revealing their spectral properties under different regimes.

Contribution

It provides the first analytical calculation of all correlation functions for non-Hermitian Dirac operators at weak and strong non-Hermiticity in these QCD models.

Findings

Analytical expressions for eigenvalue correlations at weak non-Hermiticity.

Analytical expressions for eigenvalue correlations at strong non-Hermiticity.

Insights into spectral behavior of Dirac operators with chemical potential.

Abstract

In the presence of a non-vanishing chemical potential the eigenvalues of the Dirac operator become complex. We use a random matrix model approach to calculate analytically all correlation functions at weak and strong non-Hermiticity for three-dimensional QCD with broken flavor symmetry and four-dimensional QCD in the bulk.