Finite-Volume Scaling of the Wilson-Dirac Operator Spectrum

TL;DR

This paper numerically analyzes the spectral density of the Hermitian Wilson-Dirac operator in quenched lattice QCD, confirming theoretical predictions from Wilson chiral perturbation theory regarding finite volume and mass scaling.

Contribution

It provides the first numerical verification that Wilson chiral perturbation theory accurately predicts the finite volume and mass scaling of the Wilson-Dirac operator spectrum.

Findings

Results match predictions from Wilson chiral perturbation theory

Finite volume scaling is successfully tested

Mass scaling predictions are confirmed

Abstract

The microscopic spectral density of the Hermitian Wilson-Dirac operator is computed numerically in quenched lattice QCD. We demonstrate that the results given for fixed index of the Wilson-Dirac operator can be matched by the predictions from Wilson chiral perturbation theory. We test successfully the finite volume and the mass scaling predicted by Wilson chiral perturbation theory at fixed lattice spacing.