Fluctuations and reweighting of the quark determinant on large lattices

We propose to stabilise HMC simulations of lattice QCD with very light Wilson quarks by splitting the quark determinant into two factors and by treating the factor that includes the contribution of the low modes of the Dirac operator as a reweighting factor. In general, determinant reweighting becom...

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Detalles Bibliográficos
Autores principales: Luscher, Martin, Palombi, Filippo
Lenguaje:eng
Publicado: 2008
Materias:
Particle Physics - Lattice
Acceso en línea:https://dx.doi.org/10.22323/1.066.0049
http://cds.cern.ch/record/1133029
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author Luscher, Martin
Palombi, Filippo
author_facet Luscher, Martin
Palombi, Filippo
author_sort Luscher, Martin
collection CERN
description We propose to stabilise HMC simulations of lattice QCD with very light Wilson quarks by splitting the quark determinant into two factors and by treating the factor that includes the contribution of the low modes of the Dirac operator as a reweighting factor. In general, determinant reweighting becomes inefficient on large lattices, because the statistical fluctuations of quark determinants increase exponentially with the lattice volume. Random matrix theory and some numerical studies now suggest that the low-mode contribution to the determinant behaves differently, which allows factorisations to be devised that preserve the efficiency of the simulation on large lattices.
id cern-1133029
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2008
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spelling cern-11330292023-03-14T16:44:01Zdoi:10.22323/1.066.0049http://cds.cern.ch/record/1133029engLuscher, MartinPalombi, FilippoFluctuations and reweighting of the quark determinant on large latticesParticle Physics - LatticeWe propose to stabilise HMC simulations of lattice QCD with very light Wilson quarks by splitting the quark determinant into two factors and by treating the factor that includes the contribution of the low modes of the Dirac operator as a reweighting factor. In general, determinant reweighting becomes inefficient on large lattices, because the statistical fluctuations of quark determinants increase exponentially with the lattice volume. Random matrix theory and some numerical studies now suggest that the low-mode contribution to the determinant behaves differently, which allows factorisations to be devised that preserve the efficiency of the simulation on large lattices.We propose to stabilise HMC simulations of lattice QCD with very light Wilson quarks by splitting the quark determinant into two factors and by treating the factor that includes the contribution of the low modes of the Dirac operator as a reweighting factor. In general, determinant reweighting becomes inefficient on large lattices, because the statistical fluctuations of quark determinants increase exponentially with the lattice volume. Random matrix theory and some numerical studies now suggest that the low-mode contribution to the determinant behaves differently, which allows factorisations to be devised that preserve the efficiency of the simulation on large lattices.arXiv:0810.0946CERN-PH-TH-2008-205CERN-PH-TH-2008-205oai:cds.cern.ch:11330292008-10-07
spellingShingle Particle Physics - Lattice
Luscher, Martin
Palombi, Filippo
Fluctuations and reweighting of the quark determinant on large lattices
title Fluctuations and reweighting of the quark determinant on large lattices
title_full Fluctuations and reweighting of the quark determinant on large lattices
title_fullStr Fluctuations and reweighting of the quark determinant on large lattices
title_full_unstemmed Fluctuations and reweighting of the quark determinant on large lattices
title_short Fluctuations and reweighting of the quark determinant on large lattices
title_sort fluctuations and reweighting of the quark determinant on large lattices
topic Particle Physics - Lattice
url https://dx.doi.org/10.22323/1.066.0049
http://cds.cern.ch/record/1133029
work_keys_str_mv AT luschermartin fluctuationsandreweightingofthequarkdeterminantonlargelattices
AT palombifilippo fluctuationsandreweightingofthequarkdeterminantonlargelattices

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