Discretization effects in $N_c=2$ QCD and Random Matrix Theory

TL;DR

This paper presents an analytical solution for the spectral properties of the Hermitian Wilson Dirac operator in two-color QCD, comparing theoretical predictions with Monte Carlo simulations of a related Random Matrix Theory.

Contribution

It provides the first analytical results for the quenched microscopic spectral density and chiral condensate in $N_c=2$ QCD with Wilson fermions, validated by Monte Carlo simulations.

Findings

Analytical expressions for spectral density and chiral condensate

Good agreement between theory and Monte Carlo simulations

Insights into discretization effects in two-color QCD

Abstract

We summarize the analytical solution of the Chiral Perturbation Theory for the Hermitian Wilson Dirac operator of $N_c=2$ QCD with quarks in the fundamental representation. Results have been obtained for the quenched microscopic spectral density, the distribution of the chiralities over the real modes and the chiral condensate. The analytical results are compared with results from a Monte Carlo simulation of the corresponding Random Matrix Theory.