Non-perturbative renormalization of lattice operators in coordinate space

Details Non-perturbative renormalization of lattice operators in coordinate space Non-perturbative renormalization of lattice operators in coordinate space

2004-06-14

arxiv.org/abs/hep-lat/0406019v2

Phys.Lett. B598 (2004) 227-236

Physics

High Energy Physics

High Energy Physics - Lattice

11 pages and 9 figures, LaTeX2e

Scientific paper

10.1016/j.physletb.2004.07.053

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.

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