Optimal lattice domain-wall fermions

TL;DR

This paper introduces a new formulation of lattice domain-wall fermions that optimally preserves chiral symmetry at any finite fifth-dimensional extent, improving upon conventional methods.

Contribution

A novel action for lattice domain-wall fermions that ensures optimal chiral symmetry preservation for any finite N_s.

Findings

New action achieves better chiral symmetry preservation

Applicable for any finite N_s in lattice simulations

Improves accuracy of lattice fermion formulations

Abstract

I show that the conventional formulations of lattice domain-wall fermion with any finite N_s (in the fifth dimension) do not preserve the chiral symmetry optimally and propose a new action which preserves the chiral symmetry optimally for any finite N_s.