Quenched Results for Light Quark Physics with Overlap Fermions

TL;DR

This paper reports quenched lattice QCD results using overlap fermions, accurately determining meson properties and quark masses while preserving chiral symmetry, with non-perturbative renormalization.

Contribution

It provides the first quenched QCD results with overlap fermions on a 16^3x32 lattice, including non-perturbative renormalization and chiral symmetry preservation.

Findings

Pseudoscalar meson masses and decay constants extracted

Chiral condensate determined from GMOR relation

Strange and average up-down quark masses computed

Abstract

We present results of a quenched QCD simulation with overlap fermions on a lattice of volume V = 16^3X32 at beta=6.0, which corresponds approximatively to a lattice cutoff of 2 GeV and an extension of 1.4 fm. From the two-point correlation functions of bilinear operators we extract the pseudoscalar meson masses and the corresponding decay constants. From the GMOR relation we determine the chiral condensate and, by using the K-meson mass as experimental input, we compute the sum of the strange and average up-down quark masses (m_s + \hat m). The needed logarithmic divergent renormalization constant Z_S is computed with the RI/MOM non-perturbative renormalization technique. Since the overlap preserves chiral symmetry at finite cutoff and volume, no divergent quark mass and chiral condensate additive renormalizations are required and the results are O(a) improved.