A general method for non-perturbative renormalization of lattice operators

Abstract

We propose a non-perturbative method for computing the renormalization constants of generic composite operators. This method is intended to reduce some systematic errors, which are present when one tries to obtain physical predictions from the matrix elements of lattice operators. We also present the results of a calculation of the renormalization constants of several two-fermion operators, obtained, with our method, by numerical simulation of QCD, on a 16 3 × 32 lattice, at β = 6.0. The results of this simulation are encouraging, and further applications to four-fermion operators and to the heavy quark effective theory are proposed.

Kaon mixing beyond the SM from Nf = 2 tmQCD and model independent constraints from the UTA

“…In fact, owing to the breaking of the chiral symmetry intrinsic in the Wilson fermion action, the bare counterparts of each of them mix with all the other operators of equal dimension including those with "wrong" chiral transformation properties [37]. All the mixing coefficients and the overall RC were computed in the non-perturbative RI-MOM scheme [16].…”

Nucleon structure from generalized parton distributions in lattice QCD

“…The statistical error on the GFFs is obtained from a jackknife analysis. Our results have been non-perturbatively renormalized [12] and transformed to the MS scheme at a scale of 4 GeV …”

Hadron Phenomenology from Quenched Overlap Fermions

“…We have computed them in the RI − MOM-scheme [7]. In this scheme, the renormalisation condition is formulated in terms of quark Greens functions in Landau gauge with an operator insertion at zero momentum transfer:…”