Remarks on the Gauge Dependence of the RI/MOM Renormalization Procedure

TL;DR

This paper investigates the gauge dependence of the RI/MOM non-perturbative renormalization scheme in lattice QCD, finding that gauge fixing introduces only moderate uncertainties within statistical errors.

Contribution

It provides a comparative analysis of gauge dependence in the RI/MOM scheme using different gauge fixings, demonstrating minimal impact on renormalization constants.

Findings

Gauge dependence is moderate and within statistical errors.

Different gauge fixings yield consistent renormalization constants.

Numerical uncertainties from gauge fixing are below statistical errors.

Abstract

The RI/MOM non-perturbative renormalization scheme is studied on the lattice in SU(3) quenched QCD with Wilson fermions. The gauge dependence of some fermion bilinear renormalization constants is discussed by comparing data which have been gauge-fixed in two different realizations of the Landau gauge and in a generic covariant gauge. The very good agreement between the various sets of results and the theory indicates that the numerical uncertainty induced by the lattice gauge-fixing procedure is moderate and below the statistical errors.