Topology, the Wilson flow and the HMC algorithm

An old and apparently persistent problem in numerical lattice QCD is that the simulations tend to get trapped in a sector of fixed topological charge when the lattice spacing is taken to zero. The effect sets in very rapidly and may invalidate the simulation results in certain cases. In this talk, t...

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Detalles Bibliográficos
Autor principal: Luscher, Martin
Lenguaje:eng
Publicado: 2010
Materias:
Particle Physics - Lattice
Acceso en línea:https://dx.doi.org/10.22323/1.105.0015
http://cds.cern.ch/record/1295776
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author Luscher, Martin
author_facet Luscher, Martin
author_sort Luscher, Martin
collection CERN
description An old and apparently persistent problem in numerical lattice QCD is that the simulations tend to get trapped in a sector of fixed topological charge when the lattice spacing is taken to zero. The effect sets in very rapidly and may invalidate the simulation results in certain cases. In this talk, the issue is discussed using the Wilson flow as a tool. The flow has a simple scaling behaviour and allows one to understand how exactly the topological sectors emerge in the continuum limit. Further studies however suggest that the observed slowdown of the simulations at small lattice spacings is only partly caused by the emergence of the sectors.
id cern-1295776
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2010
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spelling cern-12957762023-03-14T19:45:43Zdoi:10.22323/1.105.0015http://cds.cern.ch/record/1295776engLuscher, MartinTopology, the Wilson flow and the HMC algorithmParticle Physics - LatticeAn old and apparently persistent problem in numerical lattice QCD is that the simulations tend to get trapped in a sector of fixed topological charge when the lattice spacing is taken to zero. The effect sets in very rapidly and may invalidate the simulation results in certain cases. In this talk, the issue is discussed using the Wilson flow as a tool. The flow has a simple scaling behaviour and allows one to understand how exactly the topological sectors emerge in the continuum limit. Further studies however suggest that the observed slowdown of the simulations at small lattice spacings is only partly caused by the emergence of the sectors.An old and apparently persistent problem in numerical lattice QCD is that the simulations tend to get trapped in a sector of fixed topological charge when the lattice spacing is taken to zero. The effect sets in very rapidly and may invalidate the simulation results in certain cases. In this talk, the issue is discussed using the Wilson flow as a tool. The flow has a simple scaling behaviour and allows one to understand how exactly the topological sectors emerge in the continuum limit. Further studies however suggest that the observed slowdown of the simulations at small lattice spacings is only partly caused by the emergence of the sectors.arXiv:1009.5877CERN-PH-TH-2010-207CERN-PH-TH-2010-207oai:cds.cern.ch:12957762010-09-30
spellingShingle Particle Physics - Lattice
Luscher, Martin
Topology, the Wilson flow and the HMC algorithm
title Topology, the Wilson flow and the HMC algorithm
title_full Topology, the Wilson flow and the HMC algorithm
title_fullStr Topology, the Wilson flow and the HMC algorithm
title_full_unstemmed Topology, the Wilson flow and the HMC algorithm
title_short Topology, the Wilson flow and the HMC algorithm
title_sort topology, the wilson flow and the hmc algorithm
topic Particle Physics - Lattice
url https://dx.doi.org/10.22323/1.105.0015
http://cds.cern.ch/record/1295776
work_keys_str_mv AT luschermartin topologythewilsonflowandthehmcalgorithm

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