RI/MOM Renormalization Window and Goldstone Pole Contamination

Abstract

We perform a comparative study of the ratio of lattice (Wilson fermion) renormalization constants Z_P/Z_S, obtained non-perturbatively from the RI/MOM renormalization conditions and from Ward Identities of on- and off-shell Green's functions. The off-shell Ward Identity used in this work relies on correlation functions with non-degenerate quark masses. We find that, due to discretization effects, there is a 10-15% discrepancy between the two Ward Identity determinations at current bare couplings (beta values). The RI/MOM result is in the same range and has a similar systematic error of 10-15%. Thus, contrary to a previous claim, the contamination of the RI/MOM result from the presence of a Goldstone pole at scales of about 2 GeV is subdominant, compared to finite cutoff effects.

LATEX, 12 pages final version to appear on Phys. Lett. B

References in corpus (1)

• Light Quark Masses 99

Cited by in corpus (33)

• Continuum Limit Physics from 2+1 Flavor Domain Wall QCD
• B-parameters of the complete set of matrix elements of (Delta B = 2) operators from the lattice
• Non-perturbative renormalization of quark bilinear operators with Nf=2 (tmQCD) Wilson fermions and the tree-level improved gauge action
• Precision computation of the kaon bag parameter
• Step Scaling with off-shell renormalisation
• Neutral kaon mixing beyond the standard model with nf=2+1 chiral fermions
• Quark Masses on the Lattice: Light and Heavy
• Renormalization Constants of Quark Operators for the Non-Perturbatively Improved Wilson Action
• Non-perturbative renormalization in coordinate space for $N_f=2$ maximally twisted mass fermions with tree-level Symanzik improved gauge action
• Non-perturbative renormalization of lattice operators in coordinate space
• Estimating the Unquenched Strange Quark Mass from the Lattice Axial Ward Identity
• Charm Quark Mass
• Renormalization of bilinear quark operators for the chirally improved lattice Dirac operator
• Preliminary Calculation of ${\alpha }_s$ from Green Functions with Dynamical Quarks
• An exploratory lattice study of DI=3/2 K -> pi pi decays at next-to-leading order in the chiral expansion
• Estimate of the chiral condensate in quenched lattice QCD
• Non-perturbative improvement of lattice QCD at large momenta
• Non-perturbative Renormalization in Lattice Field Theory
• Quenched Results for Light Quark Physics with Overlap Fermions
• Remarks on the Gauge Dependence of the RI/MOM Renormalization Procedure
• Non-perturbative renormalization of bilinear operators with dynamical overlap fermions
• Large pion pole in Z_{S}^{MOM}/Z_{P}^{MOM} from Wilson action data
• Nonperturbative renormalization of composite operators with overlap fermions
• Non-perturbative renormalization of HQET and QCD
• Extraction of K-->pipi Matrix Elements with Wilson Fermions
• Nonperturbative renormalisation of composite operators with overlap quarks
• Renormalization of Bilinear Quark Operators for Overlap Fermions
• Non-perturbative renormalization constants and light quark masses
• Non-perturbative calculation of $Z_V$ and $Z_A$ in domain-wall QCD on a finite box
• Renormalization factors of quark bilinears using the DCI operator with dynamical quarks
• Non-perturbative renormalization in lattice QCD
• Non-perturbative renormalisation of four fermion operators and B-bar B mixing with Wilson fermions
• Towards a non-perturbative calculation of Weak Hamiltonian Wilson coefficients