Numerical Exploration of the RI/MOM Scheme Gauge Dependence

TL;DR

This study investigates the gauge dependence of RI/MOM renormalization constants for fermion bilinears, finding minimal gauge-related uncertainties and confirming the robustness of the renormalization scheme across different gauges.

Contribution

It provides a numerical comparison of gauge dependence in RI/MOM renormalization constants, demonstrating the scheme's stability across different gauge fixings.

Findings

Excellent agreement between different gauge fixings.

Gauge dependence effects are below statistical errors.

Numerical uncertainty from gauge fixing is under 1-1.5%.

Abstract

The gauge dependence of some fermion bilinear RI/MOM renormalization constants is studied 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 below the statistical errors of our data sample which is of the order of (1-1.5)%.