Trivializing maps, the Wilson flow and the HMC algorithm

In lattice gauge theory, there exist field transformations that map the theory to the trivial one, where the basic field variables are completely decoupled from one another. Such maps can be constructed systematically by integrating certain flow equations in field space. The construction is worked o...

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Detalles Bibliográficos
Autor principal: Lüscher, Martin
Lenguaje:eng
Publicado: 2009
Materias:
Particle Physics - Lattice
Acceso en línea:https://dx.doi.org/10.1007/s00220-009-0953-7
http://cds.cern.ch/record/1195980
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author Lüscher, Martin
author_facet Lüscher, Martin
author_sort Lüscher, Martin
collection CERN
description In lattice gauge theory, there exist field transformations that map the theory to the trivial one, where the basic field variables are completely decoupled from one another. Such maps can be constructed systematically by integrating certain flow equations in field space. The construction is worked out in some detail and it is proposed to combine the Wilson flow (which generates approximately trivializing maps for the Wilson gauge action) with the HMC simulation algorithm in order to improve the efficiency of lattice QCD simulations.
id cern-1195980
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2009
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spelling cern-11959802019-09-30T06:29:59Zdoi:10.1007/s00220-009-0953-7http://cds.cern.ch/record/1195980engLüscher, MartinTrivializing maps, the Wilson flow and the HMC algorithmParticle Physics - LatticeIn lattice gauge theory, there exist field transformations that map the theory to the trivial one, where the basic field variables are completely decoupled from one another. Such maps can be constructed systematically by integrating certain flow equations in field space. The construction is worked out in some detail and it is proposed to combine the Wilson flow (which generates approximately trivializing maps for the Wilson gauge action) with the HMC simulation algorithm in order to improve the efficiency of lattice QCD simulations.arXiv:0907.5491CERN-PH-TH-2009-118oai:cds.cern.ch:11959802009-08-03
spellingShingle Particle Physics - Lattice
Lüscher, Martin
Trivializing maps, the Wilson flow and the HMC algorithm
title Trivializing maps, the Wilson flow and the HMC algorithm
title_full Trivializing maps, the Wilson flow and the HMC algorithm
title_fullStr Trivializing maps, the Wilson flow and the HMC algorithm
title_full_unstemmed Trivializing maps, the Wilson flow and the HMC algorithm
title_short Trivializing maps, the Wilson flow and the HMC algorithm
title_sort trivializing maps, the wilson flow and the hmc algorithm
topic Particle Physics - Lattice
url https://dx.doi.org/10.1007/s00220-009-0953-7
http://cds.cern.ch/record/1195980
work_keys_str_mv AT luschermartin trivializingmapsthewilsonflowandthehmcalgorithm

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