Low-energy couplings of QCD from topological zero-mode wave functions

By matching 1/m^2 divergences in finite-volume two-point correlation functions of the scalar or pseudoscalar densities with those obtained in chiral perturbation theory, we derive a relation between the Dirac operator zero-mode eigenfunctions at fixed non-trivial topology and the low-energy constant...

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Detalles Bibliográficos
Autores principales: Giusti, Leonardo, Hernandez, P., Laine, M., Weisz, P., Wittig, H.
Lenguaje:eng
Publicado: 2003
Materias:
Particle Physics - Lattice
Acceso en línea:https://dx.doi.org/10.1088/1126-6708/2004/01/003
http://cds.cern.ch/record/690324
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author Giusti, Leonardo
Hernandez, P.
Laine, M.
Weisz, P.
Wittig, H.
author_facet Giusti, Leonardo
Hernandez, P.
Laine, M.
Weisz, P.
Wittig, H.
author_sort Giusti, Leonardo
collection CERN
description By matching 1/m^2 divergences in finite-volume two-point correlation functions of the scalar or pseudoscalar densities with those obtained in chiral perturbation theory, we derive a relation between the Dirac operator zero-mode eigenfunctions at fixed non-trivial topology and the low-energy constants of QCD. We investigate the feasibility of using this relation to extract the pion decay constant, by computing the zero-mode correlation functions on the lattice in the quenched approximation and comparing them with the corresponding expressions in quenched chiral perturbation theory.
id cern-690324
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2003
record_format invenio
spelling cern-6903242023-03-14T18:16:40Zdoi:10.1088/1126-6708/2004/01/003http://cds.cern.ch/record/690324engGiusti, LeonardoHernandez, P.Laine, M.Weisz, P.Wittig, H.Low-energy couplings of QCD from topological zero-mode wave functionsParticle Physics - LatticeBy matching 1/m^2 divergences in finite-volume two-point correlation functions of the scalar or pseudoscalar densities with those obtained in chiral perturbation theory, we derive a relation between the Dirac operator zero-mode eigenfunctions at fixed non-trivial topology and the low-energy constants of QCD. We investigate the feasibility of using this relation to extract the pion decay constant, by computing the zero-mode correlation functions on the lattice in the quenched approximation and comparing them with the corresponding expressions in quenched chiral perturbation theory.By matching 1/m^2 divergences in finite-volume two-point correlation functions of the scalar or pseudoscalar densities with those obtained in chiral perturbation theory, we derive a relation between the Dirac operator zero-mode eigenfunctions at fixed non-trivial topology and the low-energy constants of QCD. We investigate the feasibility of using this relation to extract the pion decay constant, by computing the zero-mode correlation functions on the lattice in the quenched approximation and comparing them with the corresponding expressions in quenched chiral perturbation theory.hep-lat/0312012BI-TP-2003-35CERN-TH-2003-293CPT-2003-PE-4617DESY-03-195FTUV-03-1208IFIC-03-54MPP-2003-129BI-TP-2003-35CERN-TH-2003-293CPT-4617DESY-03-195DESY-2003-195FTUV-2003-12-08IFIC-2003-54MPP-2003-129oai:cds.cern.ch:6903242003-12-08
spellingShingle Particle Physics - Lattice
Giusti, Leonardo
Hernandez, P.
Laine, M.
Weisz, P.
Wittig, H.
Low-energy couplings of QCD from topological zero-mode wave functions
title Low-energy couplings of QCD from topological zero-mode wave functions
title_full Low-energy couplings of QCD from topological zero-mode wave functions
title_fullStr Low-energy couplings of QCD from topological zero-mode wave functions
title_full_unstemmed Low-energy couplings of QCD from topological zero-mode wave functions
title_short Low-energy couplings of QCD from topological zero-mode wave functions
title_sort low-energy couplings of qcd from topological zero-mode wave functions
topic Particle Physics - Lattice
url https://dx.doi.org/10.1088/1126-6708/2004/01/003
http://cds.cern.ch/record/690324
work_keys_str_mv AT giustileonardo lowenergycouplingsofqcdfromtopologicalzeromodewavefunctions
AT hernandezp lowenergycouplingsofqcdfromtopologicalzeromodewavefunctions
AT lainem lowenergycouplingsofqcdfromtopologicalzeromodewavefunctions
AT weiszp lowenergycouplingsofqcdfromtopologicalzeromodewavefunctions
AT wittigh lowenergycouplingsofqcdfromtopologicalzeromodewavefunctions

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