Conserved currents for Mobius Domain Wall Fermions

TL;DR

This paper derives conserved vector and axial currents for Mobius domain wall fermions, enabling efficient calculation of matrix elements with preserved symmetries in lattice QCD simulations.

Contribution

It introduces a method to construct conserved currents for Mobius domain wall fermions that maintains Hermiticity and simplifies computations.

Findings

Exact conserved vector currents derived for Mobius kernel

Almost conserved axial currents constructed with Hermiticity preserved

Efficient computation of matrix elements at no extra cost

Abstract

We derive the exactly conserved vector, and almost conserved axial currents for rational approximations to the overlap operator with a general Mobius kernel. The approach maintains manifest Hermiticity, and allows matrix elements of the currents to be constructed at no extra cost after solution of the usual 5d system of equations, similar to the original approach of Furman and Shamir for domain wall Fermions.