Universal Features of Chiral Symmetry Breaking in Large-$N$ QCD

TL;DR

This paper studies the universal aspects of chiral symmetry breaking in large-N QCD by comparing lattice simulations with chiral Random Matrix Theory predictions to extract the chiral condensate.

Contribution

It introduces a non-perturbative lattice approach combined with RMT to determine the large-N chiral condensate in QCD.

Findings

Successfully extracted the large-N chiral condensate from lattice data.

Found agreement between lattice results and RMT predictions.

Compared the condensate with previous Wilson quark results.

Abstract

We investigate the universal features of chiral symmetry breaking in large-$N$ QCD by comparing non-perturbative determinations of the low-lying Dirac spectrum with chiral Random Matrix Theory (RMT) predictions. Our numerical Monte Carlo calculations are based on a chiral lattice discretization of the Dirac operator, and exploit twisted volume reduction to reach $N$ as large as 841. Matching lattice data with RMT analytic results, we are able to extract the large-$N$ chiral condensate, which is compared with a recent determination obtained with non-chiral Wilson quarks from twisted volume-reduced models.