Stability of lattice QCD simulations and the thermodynamic limit

We study the spectral gap of the Wilson--Dirac operator in two-flavour lattice QCD as a function of the lattice spacing $a$, the space-time volume $V$ and the current-quark mass $m$. It turns out that the median of the probability distribution of the gap scales proportionally to $m$ and that its wid...

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Detalles Bibliográficos
Autores principales: Del Debbio, L., Giusti, Leonardo, Luscher, M., Petronzio, R., Tantalo, N.
Lenguaje:eng
Publicado: 2005
Materias:
Particle Physics - Lattice
Acceso en línea:https://dx.doi.org/10.1088/1126-6708/2006/02/011
http://cds.cern.ch/record/915751
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author Del Debbio, L.
Giusti, Leonardo
Luscher, M.
Petronzio, R.
Tantalo, N.
author_facet Del Debbio, L.
Giusti, Leonardo
Luscher, M.
Petronzio, R.
Tantalo, N.
author_sort Del Debbio, L.
collection CERN
description We study the spectral gap of the Wilson--Dirac operator in two-flavour lattice QCD as a function of the lattice spacing $a$, the space-time volume $V$ and the current-quark mass $m$. It turns out that the median of the probability distribution of the gap scales proportionally to $m$ and that its width is practically equal to $a/\sqrt{V}$. In particular, numerical simulations are safe from accidental zero modes in the large-volume regime of QCD.
id cern-915751
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2005
record_format invenio
spelling cern-9157512023-03-14T17:17:43Zdoi:10.1088/1126-6708/2006/02/011http://cds.cern.ch/record/915751engDel Debbio, L.Giusti, LeonardoLuscher, M.Petronzio, R.Tantalo, N.Stability of lattice QCD simulations and the thermodynamic limitParticle Physics - LatticeWe study the spectral gap of the Wilson--Dirac operator in two-flavour lattice QCD as a function of the lattice spacing $a$, the space-time volume $V$ and the current-quark mass $m$. It turns out that the median of the probability distribution of the gap scales proportionally to $m$ and that its width is practically equal to $a/\sqrt{V}$. In particular, numerical simulations are safe from accidental zero modes in the large-volume regime of QCD.We study the spectral gap of the Wilson--Dirac operator in two-flavour lattice QCD as a function of the lattice spacing $a$, the space-time volume $V$ and the current-quark mass $m$. It turns out that the median of the probability distribution of the gap scales proportionally to $m$ and that its width is practically equal to $a/\sqrt{V}$. In particular, numerical simulations are safe from accidental zero modes in the large-volume regime of QCD.hep-lat/0512021CERN-PH-TH-2005-246CERN-PH-TH-2005-246oai:cds.cern.ch:9157512005-12-15
spellingShingle Particle Physics - Lattice
Del Debbio, L.
Giusti, Leonardo
Luscher, M.
Petronzio, R.
Tantalo, N.
Stability of lattice QCD simulations and the thermodynamic limit
title Stability of lattice QCD simulations and the thermodynamic limit
title_full Stability of lattice QCD simulations and the thermodynamic limit
title_fullStr Stability of lattice QCD simulations and the thermodynamic limit
title_full_unstemmed Stability of lattice QCD simulations and the thermodynamic limit
title_short Stability of lattice QCD simulations and the thermodynamic limit
title_sort stability of lattice qcd simulations and the thermodynamic limit
topic Particle Physics - Lattice
url https://dx.doi.org/10.1088/1126-6708/2006/02/011
http://cds.cern.ch/record/915751
work_keys_str_mv AT deldebbiol stabilityoflatticeqcdsimulationsandthethermodynamiclimit
AT giustileonardo stabilityoflatticeqcdsimulationsandthethermodynamiclimit
AT luscherm stabilityoflatticeqcdsimulationsandthethermodynamiclimit
AT petronzior stabilityoflatticeqcdsimulationsandthethermodynamiclimit
AT tantalon stabilityoflatticeqcdsimulationsandthethermodynamiclimit

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