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

Pilar Hernández | Zendy; Laurent Lellouch | Zendy; Hartmut Wittig | Zendy

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

Author(s) -

Pilar Hernández,

Laurent Lellouch,

Hartmut Wittig

Publication year - 2001

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2001/07/018

Subject(s) - physics , pseudoscalar , renormalization , fermion , mathematical physics , quenched approximation , particle physics , renormalization group , regularization (linguistics) , quark , quantum electrodynamics , lattice qcd , artificial intelligence , computer science

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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