Chiral condensate of lattice QCD with massless quarks from the probability distribution function method

TL;DR

This paper uses the probability distribution function method to study the chiral condensate in lattice QCD with massless quarks, providing a way to measure it directly without mass extrapolation.

Contribution

It introduces a novel application of the probability distribution function method to massless lattice QCD, establishing a relation involving Bessel functions and Dirac eigenvalues.

Findings

Chiral condensate can be measured with few eigenvalues

No ambiguous mass extrapolation needed

Results obtained for SU(3) quenched QCD on a $10^4$ lattice

Abstract

We apply the probability distribution function method to the study of chiral properties of QCD with quarks in the exact massless limit. A relation among the chiral condensate, zeros of the Bessel function and eigenvalue of Dirac operator is also given. The chiral condensate in this limit can be measured with small number of eigenvalues of the massless Dirac operator and without any ambiguous mass extrapolation. Results for SU(3) gauge theory with quenched Kogut-Susskind quarks on the $10^4$ lattice are shown.