Quenched QCD with fixed-point and chirally improved fermion

TL;DR

This paper presents quenched QCD simulation results using fixed-point and chirally improved Dirac operators, highlighting their chiral properties and effects on light hadron observables, including pion masses and decay constants.

Contribution

It introduces and compares the use of parameterized fixed-point and chirally improved Dirac operators in quenched QCD simulations, emphasizing their chiral symmetry features.

Findings

Pion masses down to 210 MeV were achieved.

Finite volume effects and scaling properties were analyzed.

Performance issues in numerical implementation were discussed.

Abstract

In this contribution we present results from quenched QCD simulations with the parameterized fixed-point (FP) and the chirally improved (CI) Dirac operator. Both these operators are approximate solutions of the Ginsparg-Wilson equation and have good chiral properties. We focus our discussion on observables sensitive to chirality. In particular we explore pion masses down to 210 MeV in light hadron spectroscopy, quenched chiral logs, the pion decay constant and the pion scattering length. We discuss finite volume effects, scaling properties of the FP and CI operators and performance issues in their numerical implementation.