A specific lattice artefact in non-perturbative renormalization of operators

Vidushi Maillart; Ferenc Niedermayer

A specific lattice artefact in non-perturbative renormalization of operators

High Energy Physics - Lattice 2008-07-02 v1

Authors: Vidushi Maillart , Ferenc Niedermayer

Abstract

We discuss a specific cut-off effect which appears in applying the non-perturbative RI/MOM scheme to compute the renormalization constants. To illustrate the problem a Dirac operator satisfying the Ginsparg-Wilson relation is used, but the arguments are more general. We propose a simple modification of the method which gets rid of the corresponding discretization error. Applying this to full-QCD simulations done at a=0.13 fm with the Fixed Point action we find that the renormalization constants are strongly distorted by the artefacts discussed. We consider also the role of global gauge transformations, a freedom which still remains after the conventional gauge fixing procedure is applied.

Keywords

non-perturbative renormalization in lattice qcd renormalization in quantum field theory renormalization group

Cite

@article{arxiv.0807.0030,
  title  = {A specific lattice artefact in non-perturbative renormalization of operators},
  author = {Vidushi Maillart and Ferenc Niedermayer},
  journal= {arXiv preprint arXiv:0807.0030},
  year   = {2008}
}

Comments

15 pages, 5 figures

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