Dirac eigenvalue correlations in quenched QCD at finite density

TL;DR

This paper compares lattice QCD simulations with analytical predictions for Dirac eigenvalue correlations at finite density, confirming the validity of chiral effective theories at low energies and identifying the scale of the zero-momentum approximation.

Contribution

It demonstrates the agreement between lattice QCD data and chiral effective theory predictions for eigenvalue correlations at finite chemical potential.

Findings

Analytic results match lattice data at low energies.

The scale of the zero-momentum approximation is identified.

Eigenvalue correlations are consistent with chiral effective theories.

Abstract

We compare eigenvalue correlations of the Dirac operator with a chemical potential obtained from lattice simulations of quenched QCD with analytic predictions obtained from chiral effective theories in the zero-momentum limit. By comparing the density and two-point correlation function we show that the analytic results agree with QCD at low energies. We also examine the scale (Thouless energy) up to which the zero-momentum approximation is valid.