Remarks on the gauge dependence of the RI/MOM renormalization procedure

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.

Perturbative and nonperturbative renormalization in lattice QCD

“…The required gauge fixing necessarily raises the question of the influence of Gribov copies. Fortunately, investigations of this problem indicate that the fluctuations induced by the Gribov copies are not overwhelmingly large and may be less important than the ordinary statistical fluctuations [24,25] (see also Ref. [26]).…”

“…Final nonperturbative results for operators with at most one derivative obtained with r 0 = 0.467 fm and r 0 Λ MS = 0.617 from perturbatively subtracted data. Estimates of systematic errors have been included.Op.Z RGI | β=5.20 Z RGI | β=5 25. Z RGI | β=5 29.…”

Determination of quark masses from nf=4 lattice QCD and the RI-SMOM intermediate scheme

“…On set 12 we fixed to Landau gauge with a tolerance of 10 −14 and do not take any additional uncertainty from residual gauge-fixing effects. We do not consider any possible effects from Gribov copies (for studies of this in the RI-MOM scheme see, for example, [51,52]).…”

Numerical exploration of the RI/MOM scheme gauge dependence

“…[9]). We have done this by imposing the standard lattice Landau gauge and another realization of the Landau condition (Landau1 gauge).…”