Creutz Fermions on an Orthogonal Lattice

TL;DR

This paper discusses a new lattice fermion action that preserves chiral symmetry without additional parameters, simplifying the approach to simulating Dirac fermions on orthogonal lattices.

Contribution

It introduces a parameter-free fermion action on the lattice, extending Creutz's previous work and focusing on chiral symmetry preservation.

Findings

The new action maintains chiral symmetry without extra parameters.

It correctly reproduces the continuum limit for Dirac fermions.

Simplifies lattice fermion simulations by reducing parameter dependence.

Abstract

In a recent paper, Creutz has given a new action describing two species of Dirac fermions with exact chiral symmetry on the lattice. This action depends on a parameter which may be fixed at a certain value in order to get the right continuum limit. In this letter, we elaborate more on this idea and present an action which is free of any other parameter except the fermion mass.