A numerical treatment of Neuberger's lattice Dirac operator

TL;DR

This paper details the numerical implementation and optimization of Neuberger's lattice Dirac operator, focusing on computational acceleration and practical application considerations in lattice gauge theory.

Contribution

It introduces specific numerical improvements to efficiently compute Neuberger's operator and assesses the computational costs involved.

Findings

Enhanced numerical methods for Neuberger's operator

Reduced computational expense in practical applications

Improved acceleration techniques for lattice computations

Abstract

We describe in some detail our numerical treatment of Neuberger's lattice Dirac operator as implemented in a practical application. We discuss the improvements we have found to accelerate the numerical computations and give an estimate of the expense when using this operator in practice.