Universal Spectral Correlators and Massive Dirac Operators

TL;DR

This paper derives universal spectral correlators for complex matrix ensembles with massive fermions, connecting random matrix theory to QCD Dirac spectra and confirming their universal behavior in large-N limits.

Contribution

It provides the first derivation of universal spectral correlators for massive Dirac operators, linking random matrix results to quantum chromodynamics.

Findings

Spectral densities satisfy exact sum rules of massive Dirac operators.

Results are universal in the large-N scaling limit.

Connects random matrix theory with QCD spectral properties.

Abstract

We derive the large-N spectral correlators of complex matrix ensembles with weights that in the context of Dirac spectra correspond to N_f massive fermions, and prove that the results are universal in the appropriate scaling limits. The resulting microscopic spectral densities satisfy exact spectral sum rules of massive Dirac operators in QCD.