One-loop renormalization of fermionic currents with the overlap-Dirac operator

TL;DR

This paper calculates the one-loop lattice renormalization constants for fermionic currents using the overlap-Dirac operator in QCD, improving estimates through resummation and mean field techniques.

Contribution

It provides the first detailed one-loop renormalization calculations for fermionic currents with the overlap-Dirac operator, including improved estimates from resummation methods.

Findings

Computed one-loop renormalization constants for fermionic currents.

Provided improved estimates using cactus resummation and mean field theory.

Enhanced understanding of chiral properties in lattice QCD calculations.

Abstract

We compute the one-loop lattice renormalization of the two-quark operators $\bar{\psi} \Gamma \psi$, where $\Gamma$ denotes the generic Dirac matrix, for the lattice formulation of QCD using the overlap-Dirac operator. We also study the renormalization of quark bilinears which are more extended and have better chiral properties. Finally, we present improved estimates of these renormalization constants, coming from cactus resummation and from mean field perturbation theory.