Fast evaluation and locality of overlap fermions

TL;DR

This paper presents a method to efficiently evaluate overlap fermions by starting from an approximate Ginsparg-Wilson fermion, resulting in faster computation and improved locality compared to standard approaches.

Contribution

It introduces a novel approach that accelerates polynomial evaluation and enhances locality in overlap fermions using an approximate Ginsparg-Wilson fermion.

Findings

Polynomial evaluation is significantly faster.

Locality of overlap fermions is strongly improved.

Method outperforms standard Neuberger fermions.

Abstract

In order to construct improved overlap fermions, we start from a short ranged approximate Ginsparg-Wilson fermion and insert it into the overlap formula. We show that its polynomial evaluation is accelerated considerably compared to the standard Neuberger fermion. In addition the degree of locality is strongly improved.