Two-colour Lattice QCD with dynamical fermions at non-zero density versus Matrix Models

TL;DR

This paper demonstrates that Matrix Models effectively describe the low-lying complex Dirac eigenvalues in SU(2) lattice gauge theory with dynamical fermions at non-zero density, validated by lattice data and analytical results.

Contribution

It provides the first evidence linking Matrix Models to the spectral properties of dynamical fermions at finite density in lattice QCD.

Findings

Matrix Models match lattice data for Dirac eigenvalues

Confirmed dependence on chemical potential, quark mass, and volume

Validated analytical predictions with numerical data

Abstract

We provide first evidence that Matrix Models describe the low lying complex Dirac eigenvalues in a theory with dynamical fermions at non-zero density. Lattice data for gauge group SU(2) with staggered fermions are compared to detailed analytical results from Matrix Models in the corresponding symmetry class, the complex chiral Symplectic Ensemble. They confirm the predicted dependence on chemical potential, quark mass and volume.