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

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

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Hernández Gamazo, Pilar; Jansen, K.; Lellouch, Laurent; Wittig, Hartmut
Aquest document és un/a article, creat/da en: 2001
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.

    Hernández Gamazo, Pilar Jansen, K. Lellouch, Laurent Wittig, Hartmut 2001 Non-perturbative renormalization of the quark condensate in Ginsparg-Wilson regularizations Journal of High Energy Physics 0107 7 018
http://dx.doi.org/10.1088/1126-6708/2001/07/018
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