We present the first numerical implementation of a non-perturbative renormalization method for lattice operators, based on the study of correlation functions in coordinate space at short Euclidean distance. The method is applied to compute the renormalization constants of bilinear quark operators for the non-perturbative O(a)-improved Wilson action in the quenched approximation. The matching with perturbative schemes, such as (MS) over bar, is computed at the next-to-leading order in continuum perturbation theory. A feasibility study of this technique with Neuberger fermions is also presented. (C) 2004 Published by Elsevier B.V.
Gimenez, V., Giusti, L., Guerriero, S., Lubicz, V., Martinelli, G., Petrarca, S., et al. (2004). Non-perturbative renormalization of lattice operators in coordinate space. PHYSICS LETTERS. SECTION B, 598(3-4), 227-236 [10.1016/j.physletb.2004.07.053].
Non-perturbative renormalization of lattice operators in coordinate space
LUBICZ, Vittorio;
2004-01-01
Abstract
We present the first numerical implementation of a non-perturbative renormalization method for lattice operators, based on the study of correlation functions in coordinate space at short Euclidean distance. The method is applied to compute the renormalization constants of bilinear quark operators for the non-perturbative O(a)-improved Wilson action in the quenched approximation. The matching with perturbative schemes, such as (MS) over bar, is computed at the next-to-leading order in continuum perturbation theory. A feasibility study of this technique with Neuberger fermions is also presented. (C) 2004 Published by Elsevier B.V.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
