Spectral correlations of the massive QCD Dirac operator at finite temperature

TL;DR

This paper employs supersymmetry techniques to analyze the universal spectral correlations of the massive QCD Dirac operator at finite temperature, providing insights into the spectral behavior in QCD-like models.

Contribution

It introduces a novel application of the graded eigenvalue method to compute spectral correlations for the massive QCD Dirac operator with an arbitrary Hermitian perturbation.

Findings

Universal spectral correlations characterized for the massive QCD Dirac operator.

Extension of supersymmetry techniques to finite temperature QCD models.

Insights into spectral behavior with dynamical quarks at finite temperature.

Abstract

We use the graded eigenvalue method, a variant of the supersymmetry technique, to compute the universal spectral correlations of the QCD Dirac operator in the presence of massive dynamical quarks. The calculation is done for the chiral Gaussian unitary ensemble of random matrix theory with an arbitrary Hermitian matrix added to the Dirac matrix. This case is of interest for schematic models of QCD at finite temperature.