Non-perturbative renormalization of lattice operators in coordinate space

V. Gimenez; L. Giusti; S. Guerriero; V. Lubicz; G. Martinelli; S. Petrarca; J. Reyes; B. Taglienti; E. Trevigne

doi:10.1016/j.physletb.2004.07.053

Non-perturbative renormalization of lattice operators in coordinate space

High Energy Physics - Lattice 2009-11-10 v2

Authors: V. Gimenez , L. Giusti , S. Guerriero , V. Lubicz , G. Martinelli , S. Petrarca , J. Reyes , B. Taglienti , E. Trevigne

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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-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.

Keywords

non-perturbative renormalization lattice operators coordinate space correlation functions O(a)-improved Wilson action Neuberger fermions

Cite

@article{arxiv.hep-lat/0406019,
  title  = {Non-perturbative renormalization of lattice operators in coordinate space},
  author = {V. Gimenez and L. Giusti and S. Guerriero and V. Lubicz and G. Martinelli and S. Petrarca and J. Reyes and B. Taglienti and E. Trevigne},
  journal= {arXiv preprint arXiv:hep-lat/0406019},
  year   = {2009}
}

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11 pages and 9 figures, LaTeX2e

Non-perturbative renormalization of lattice operators in coordinate space

Abstract

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