Non-perturbative renormalization of the quark condensate in Ginsparg-Wilson regularizations

Details Non-perturbative renormalization of the quark condensate in Ginsparg-Wilson regularizations Non-perturbative renormalization of the quark condensate in Ginsparg-Wilson regularizations

2001-06-17

arxiv.org/abs/hep-lat/0106011v1

JHEP 0107:018,2001

Physics

High Energy Physics

High Energy Physics - Lattice

21 pages, 4 postscript files, LaTeX

Scientific paper

10.1088/1126-6708/2001/07/018

We present a method to compute non-perturbatively the renormalization constant of the scalar density for Ginsparg-Wilson fermions. It relies on chiral symmetry and is based on a matching of renormalization group invariant masses at fixed pseudoscalar meson mass, making use of results previously obtained by the ALPHA Collaboration for O(a)-improved Wilson fermions. Our approach is quite general and enables the renormalization of scalar and pseudoscalar densities in lattice regularizations that preserve chiral symmetry and of fermion masses in any regularization. As an application we compute the non-perturbative factor which relates the renormalization group invariant quark condensate to its bare counterpart, obtained with overlap fermions at beta=5.85 in the quenched approximation.

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