Spontaneous chiral-symmetry breaking of lattice QCD with massless dynamical quarks

TL;DR

This paper introduces a probability distribution function method to study spontaneous chiral-symmetry breaking in lattice QCD with massless quarks, eliminating the need for complex extrapolations and potentially offering a more efficient approach.

Contribution

It presents a novel application of the probability distribution function method to directly compute the chiral condensate in lattice QCD with massless quarks, avoiding traditional extrapolation issues.

Findings

Method successfully computes chiral condensate without mass extrapolation

Results suggest the method is more efficient for studying chiral symmetry breaking

Application to staggered quarks demonstrates practical viability

Abstract

One of the most challenging issues in QCD is the investigation of spontaneous chiral-symmetry breaking, which is characterized by the non-vanishing chiral condensate when the bare fermion mass is zero. In standard methods, one has to perform expensive lattice simulations at multiple bare quark masses, and employ some modeled function to extrapolate the data to the chiral limit. This paper applies the probability distribution function method to computing the chiral condensate in lattice QCD with massless dynamical quarks, without any ambiguous mass extrapolation. The results for staggered quarks indicates that the method might be a more efficient alternative for investigating the spontaneous chiral-symmetry breaking in lattice QCD.