Universality check of the overlap fermions in the Schroedinger functional

TL;DR

This paper investigates the properties of the overlap operator within the Schrödinger functional framework at perturbative levels, confirming universality and analyzing cutoff effects, showing comparable lattice artifacts to clover actions.

Contribution

It provides a perturbative analysis of the overlap operator in the Schrödinger functional, confirming universality and comparing cutoff effects with clover actions.

Findings

Universality confirmed at tree and one-loop levels.

Lattice artifacts for overlap operator are comparable to clover actions.

Cutoff effects analyzed for step scaling function.

Abstract

I examine some properties of the overlap operator in the Schroedinger functional formulated by Luescher at perturbative level. By investigating spectra of the free operator and one-loop coefficient of the Schroedinger functional coupling, I confirm the universality at tree and one-loop level. Furthermore, I address cutoff effects of the step scaling function and it turns out that the lattice artifacts for the overlap operator are comparable with those of the clover actions.