Progress using generalized lattice Dirac operators to parametrize the Fixed-Point QCD action

TL;DR

This paper discusses the development of a generalized parametrization of the Fixed-Point Dirac operator for massless quarks, aiming to improve lattice QCD simulations by incorporating extensive symmetries and flexible gauge paths.

Contribution

It introduces a highly general construction for the Fixed-Point Dirac operator with multiple offsets and paths, advancing the parametrization techniques in lattice QCD.

Findings

Preliminary results with hypercubic fermion offsets show promise.

The construction satisfies all required symmetries.

The approach allows for flexible and comprehensive parametrizations.

Abstract

We report on an ongoing project to parametrize the Fixed-Point Dirac operator for massless quarks, using a very general construction which has arbitrarily many fermion offsets and gauge paths, the complete Clifford algebra and satisfies all required symmetries. Optimizing a specific construction with hypercubic fermion offsets, we present some preliminary results.