Chiral symmetry and O(a) improvement in lattice QCD

The dominant cutoff effects in lattice QCD with Wilson quarks are proportional to the lattice spacing a. In particular, the isovector axial current satisfies the PCAC relation only up to such effects. Following a suggestion of Symanzik, they can be cancelled by adding local O(a) correction terms to...

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Detalles Bibliográficos
Autores principales: Luscher, Martin, Sint, Stefan, Sommer, Rainer, Weisz, Peter
Lenguaje:eng
Publicado: 1996
Materias:
Particle Physics - Lattice
Acceso en línea:https://dx.doi.org/10.1016/0550-3213(96)00378-1
http://cds.cern.ch/record/304204
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author Luscher, Martin
Sint, Stefan
Sommer, Rainer
Weisz, Peter
author_facet Luscher, Martin
Sint, Stefan
Sommer, Rainer
Weisz, Peter
author_sort Luscher, Martin
collection CERN
description The dominant cutoff effects in lattice QCD with Wilson quarks are proportional to the lattice spacing a. In particular, the isovector axial current satisfies the PCAC relation only up to such effects. Following a suggestion of Symanzik, they can be cancelled by adding local O(a) correction terms to the action and the axial current. We here address a number of theoretical issues in connection with the O(a) improvement of lattice QCD and then show that chiral symmetry can be used to fix the coefficients multiplying the correction terms.
id cern-304204
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1996
record_format invenio
spelling cern-3042042021-07-16T00:58:43Zdoi:10.1016/0550-3213(96)00378-1http://cds.cern.ch/record/304204engLuscher, MartinSint, StefanSommer, RainerWeisz, PeterChiral symmetry and O(a) improvement in lattice QCDParticle Physics - LatticeThe dominant cutoff effects in lattice QCD with Wilson quarks are proportional to the lattice spacing a. In particular, the isovector axial current satisfies the PCAC relation only up to such effects. Following a suggestion of Symanzik, they can be cancelled by adding local O(a) correction terms to the action and the axial current. We here address a number of theoretical issues in connection with the O(a) improvement of lattice QCD and then show that chiral symmetry can be used to fix the coefficients multiplying the correction terms.The dominant cutoff effects in lattice QCD with Wilson quarks are proportional to the lattice spacing a. In particular, the isovector axial current satisfies the PCAC relation only up to such effects. Following a suggestion of Symanzik, they can be cancelled by adding local O(a) correction terms to the action and the axial current. We here address a number of theoretical issues in connection with the O(a) improvement of lattice QCD and then show that chiral symmetry can be used to fix the coefficients multiplying the correction terms.The dominant cutoff effects in lattice QCD with Wilson quarks are proportional to the lattice spacing a . In particular, the isovector axial current satisfies the PCAC relation only up to such effects. Following a suggestion of Symanzik, they can be cancelled by adding local O( a ) correction terms to the action and the axial current. We here address a number of theoretical issues in connection with the O( a ) improvement of lattice QCD and then show that chiral symmetry can be used to fix the coefficients multiplying the correction terms.hep-lat/9605038DESY-96-086CERN-TH-96-138MPI-PHT-96-38CERN-TH-96-138DESY-96-086MPI-PHT-96-38oai:cds.cern.ch:3042041996-05-29
spellingShingle Particle Physics - Lattice
Luscher, Martin
Sint, Stefan
Sommer, Rainer
Weisz, Peter
Chiral symmetry and O(a) improvement in lattice QCD
title Chiral symmetry and O(a) improvement in lattice QCD
title_full Chiral symmetry and O(a) improvement in lattice QCD
title_fullStr Chiral symmetry and O(a) improvement in lattice QCD
title_full_unstemmed Chiral symmetry and O(a) improvement in lattice QCD
title_short Chiral symmetry and O(a) improvement in lattice QCD
title_sort chiral symmetry and o(a) improvement in lattice qcd
topic Particle Physics - Lattice
url https://dx.doi.org/10.1016/0550-3213(96)00378-1
http://cds.cern.ch/record/304204
work_keys_str_mv AT luschermartin chiralsymmetryandoaimprovementinlatticeqcd
AT sintstefan chiralsymmetryandoaimprovementinlatticeqcd
AT sommerrainer chiralsymmetryandoaimprovementinlatticeqcd
AT weiszpeter chiralsymmetryandoaimprovementinlatticeqcd

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