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

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 obta...

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Detalles Bibliográficos
Autores principales: Hernandez, Pilar, Jansen, Karl, Lellouch, Laurent, Wittig, Hartmut
Lenguaje:eng
Publicado: 2001
Materias:
Particle Physics - Lattice
Acceso en línea:https://dx.doi.org/10.1088/1126-6708/2001/07/018
http://cds.cern.ch/record/517849
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author Hernandez, Pilar
Jansen, Karl
Lellouch, Laurent
Wittig, Hartmut
author_facet Hernandez, Pilar
Jansen, Karl
Lellouch, Laurent
Wittig, Hartmut
author_sort Hernandez, Pilar
collection CERN
description 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.
id cern-517849
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2001
record_format invenio
spelling cern-5178492023-03-14T20:05:20Zdoi:10.1088/1126-6708/2001/07/018http://cds.cern.ch/record/517849engHernandez, PilarJansen, KarlLellouch, LaurentWittig, HartmutNon-perturbative renormalization of the quark condensate in Ginsparg-Wilson regularizationsParticle Physics - LatticeWe 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.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.hep-lat/0106011CERN-TH-2001-157CPT-2001-P-4211DESY-01-083IFIC-01-34FTUV-010617LTH-508CERN-TH-2001-157CPT-4211DESY-2001-083IFIC-2001-34DESY-01-083oai:cds.cern.ch:5178492001-06-17
spellingShingle Particle Physics - Lattice
Hernandez, Pilar
Jansen, Karl
Lellouch, Laurent
Wittig, Hartmut
Non-perturbative renormalization of the quark condensate in Ginsparg-Wilson regularizations
title Non-perturbative renormalization of the quark condensate in Ginsparg-Wilson regularizations
title_full Non-perturbative renormalization of the quark condensate in Ginsparg-Wilson regularizations
title_fullStr Non-perturbative renormalization of the quark condensate in Ginsparg-Wilson regularizations
title_full_unstemmed Non-perturbative renormalization of the quark condensate in Ginsparg-Wilson regularizations
title_short Non-perturbative renormalization of the quark condensate in Ginsparg-Wilson regularizations
title_sort non-perturbative renormalization of the quark condensate in ginsparg-wilson regularizations
topic Particle Physics - Lattice
url https://dx.doi.org/10.1088/1126-6708/2001/07/018
http://cds.cern.ch/record/517849
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AT jansenkarl nonperturbativerenormalizationofthequarkcondensateinginspargwilsonregularizations
AT lellouchlaurent nonperturbativerenormalizationofthequarkcondensateinginspargwilsonregularizations
AT wittighartmut nonperturbativerenormalizationofthequarkcondensateinginspargwilsonregularizations

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