Non-perturbative renormalization of overlap quark bilinears on domain wall fermion configurations

TL;DR

This paper computes renormalization constants for overlap quark bilinear operators on domain wall fermion configurations, using non-perturbative methods and scheme conversions, to improve lattice QCD calculations.

Contribution

It provides the first non-perturbative renormalization constants for overlap quark bilinears on 2+1-flavor domain wall fermion configurations, including scheme conversions.

Findings

Renormalization constants for scalar, pseudoscalar, and vector currents calculated in RI-MOM scheme.

Scale-independent axial vector current renormalization constant obtained via Ward Identity.

Results obtained from six ensembles with different lattice sizes.

Abstract

We present renormalization constants of overlap quark bilinear operators on 2+1-flavor domain wall fermion configurations. Both overlap and domain wall fermions have chiral symmetry on the lattice. The scale independent renormalization constant for the local axial vector current is computed using a Ward Identity. The renormalization constants for the scalar, pseudoscalar and vector current are calculated in the RI-MOM scheme. Results in the MS-bar scheme are obtained by using perturbative conversion ratios. The analysis uses in total six ensembles with lattice sizes 24^3x64 and 32^3x64.