Locality of optimal lattice domain-wall fermions

TL;DR

This paper demonstrates that the effective four-dimensional lattice Dirac operator for optimal lattice domain-wall fermions remains exponentially local when the gauge background is sufficiently smooth, even with a finite fifth dimension.

Contribution

It establishes the exponential locality of the effective Dirac operator for optimal lattice domain-wall fermions with finite fifth dimension.

Findings

Effective 4D Dirac operator is exponentially local for smooth gauge backgrounds.

Locality holds even with finite N_s in the fifth dimension.

Supports the validity of domain-wall fermions in lattice QCD simulations.

Abstract

It is shown that the effective 4D lattice Dirac operator of optimal lattice domain-wall fermions with finite N_s (in the fifth dimension) is exponentially local for sufficiently smooth gauge background.