Lattice QCD in the $\epsilon$-regime and random matrix theory

In the epsilon-regime of QCD the main features of the spectrum of the low-lying eigenvalues of the (euclidean) Dirac operator are expected to be described by a certain universality class of random matrix models. In particular, the latter predict the joint statistical distribution of the individual e...

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Detalles Bibliográficos
Autores principales: Giusti, Leonardo, Lüscher, Martin, Weisz, P, Wittig, H
Lenguaje:eng
Publicado: 2003
Materias:
Particle Physics - Lattice
Acceso en línea:https://dx.doi.org/10.1088/1126-6708/2003/11/023
http://cds.cern.ch/record/645678
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author Giusti, Leonardo
Lüscher, Martin
Weisz, P
Wittig, H
author_facet Giusti, Leonardo
Lüscher, Martin
Weisz, P
Wittig, H
author_sort Giusti, Leonardo
collection CERN
description In the epsilon-regime of QCD the main features of the spectrum of the low-lying eigenvalues of the (euclidean) Dirac operator are expected to be described by a certain universality class of random matrix models. In particular, the latter predict the joint statistical distribution of the individual eigenvalues in any topological sector of the theory. We compare some of these predictions with high-precision numerical data obtained from lattice QCD for a range of lattice spacings and volumes. While no complete matching is observed, the results agree with theoretical expectations at volumes larger than about 5 fm^4.
id cern-645678
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2003
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spelling cern-6456782019-09-30T06:29:59Zdoi:10.1088/1126-6708/2003/11/023http://cds.cern.ch/record/645678engGiusti, LeonardoLüscher, MartinWeisz, PWittig, HLattice QCD in the $\epsilon$-regime and random matrix theoryParticle Physics - LatticeIn the epsilon-regime of QCD the main features of the spectrum of the low-lying eigenvalues of the (euclidean) Dirac operator are expected to be described by a certain universality class of random matrix models. In particular, the latter predict the joint statistical distribution of the individual eigenvalues in any topological sector of the theory. We compare some of these predictions with high-precision numerical data obtained from lattice QCD for a range of lattice spacings and volumes. While no complete matching is observed, the results agree with theoretical expectations at volumes larger than about 5 fm^4.hep-lat/0309189CERN-TH-2003-213CPT-4569DESY-03-135DESY-2003-135MPP-2003-74oai:cds.cern.ch:6456782003-09-30
spellingShingle Particle Physics - Lattice
Giusti, Leonardo
Lüscher, Martin
Weisz, P
Wittig, H
Lattice QCD in the $\epsilon$-regime and random matrix theory
title Lattice QCD in the $\epsilon$-regime and random matrix theory
title_full Lattice QCD in the $\epsilon$-regime and random matrix theory
title_fullStr Lattice QCD in the $\epsilon$-regime and random matrix theory
title_full_unstemmed Lattice QCD in the $\epsilon$-regime and random matrix theory
title_short Lattice QCD in the $\epsilon$-regime and random matrix theory
title_sort lattice qcd in the $\epsilon$-regime and random matrix theory
topic Particle Physics - Lattice
url https://dx.doi.org/10.1088/1126-6708/2003/11/023
http://cds.cern.ch/record/645678
work_keys_str_mv AT giustileonardo latticeqcdintheepsilonregimeandrandommatrixtheory
AT luschermartin latticeqcdintheepsilonregimeandrandommatrixtheory
AT weiszp latticeqcdintheepsilonregimeandrandommatrixtheory
AT wittigh latticeqcdintheepsilonregimeandrandommatrixtheory

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