Chiral measurements with the Fixed-Point Dirac operator and construction of chiral currents

TL;DR

This paper investigates the chiral properties of the Fixed-Point Dirac operator, enhances its chirality with the Overlap method, measures key QCD parameters, and develops a general approach for constructing chiral currents on the lattice.

Contribution

It introduces a method to improve the chirality of the Fixed-Point Dirac operator and provides a general construction for chiral currents in lattice QCD.

Findings

Improved chirality of the Fixed-Point Dirac operator via Overlap construction

Measurement of the renormalized quark condensate and topological susceptibility

Analysis of local chirality of near zero modes

Abstract

In this preliminary study, we examine the chiral properties of the parametrized Fixed-Point Dirac operator D^FP, see how to improve its chirality via the Overlap construction, measure the renormalized quark condensate Sigma and the topological susceptibility chi_t, and investigate local chirality of near zero modes of the Dirac operator. We also give a general construction of chiral currents and densities for chiral lattice actions.