The Slab Method to Measure the Topological Susceptibility

In simulations of a model with topological sectors, algorithms which proceed in small update steps tend to get stuck in one sector, especially on fine lattices. This distorts the numerical results, in particular it is not straightforward to measure the topological susceptibility chi_t. We test a met...

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Detalles Bibliográficos
Autores principales: Bietenholz, Wolfgang, Cichy, Krzysztof, de Forcrand, Philippe, Dromard, Arthur, Gerber, Urs
Lenguaje:eng
Publicado: SISSA 2016
Materias:
Particle Physics - Lattice
Acceso en línea:https://dx.doi.org/10.22323/1.256.0321
http://cds.cern.ch/record/2221432
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author Bietenholz, Wolfgang
Cichy, Krzysztof
de Forcrand, Philippe
Dromard, Arthur
Gerber, Urs
author_facet Bietenholz, Wolfgang
Cichy, Krzysztof
de Forcrand, Philippe
Dromard, Arthur
Gerber, Urs
author_sort Bietenholz, Wolfgang
collection CERN
description In simulations of a model with topological sectors, algorithms which proceed in small update steps tend to get stuck in one sector, especially on fine lattices. This distorts the numerical results, in particular it is not straightforward to measure the topological susceptibility chi_t. We test a method to measure chi_t even if configurations from only one sector are available. It is based on the topological charges in sub-volumes, which we denote as "slabs". This enables the evaluation of chi_t, as we demonstrate with numerical results for non-linear sigma-models and for 2-flavour QCD.
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institution Organización Europea para la Investigación Nuclear
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spelling cern-22214322023-03-14T19:32:27Zdoi:10.22323/1.256.0321http://cds.cern.ch/record/2221432engBietenholz, WolfgangCichy, Krzysztofde Forcrand, PhilippeDromard, ArthurGerber, UrsThe Slab Method to Measure the Topological SusceptibilityParticle Physics - LatticeIn simulations of a model with topological sectors, algorithms which proceed in small update steps tend to get stuck in one sector, especially on fine lattices. This distorts the numerical results, in particular it is not straightforward to measure the topological susceptibility chi_t. We test a method to measure chi_t even if configurations from only one sector are available. It is based on the topological charges in sub-volumes, which we denote as "slabs". This enables the evaluation of chi_t, as we demonstrate with numerical results for non-linear sigma-models and for 2-flavour QCD.In simulations of a model with topological sectors, algorithms which proceed in small update steps tend to get stuck in one sector, especially on fine lattices. This distorts the numerical results; in particular it is not straightforward to measure the topological susceptibility chi_t. We test a method to measure chi_t even if configurations from only one sector are available. It is based on the topological charges in sub-volumes, which we denote as "slab". This enables the evaluation of chi_t, as we demonstrate with numerical results for non-linear sigma-models and for 2-flavour QCD. In the latter case, the gradient flow is applied for the smoothing of the gauge configurations, and the slab method results for chi_t are stable over a broad range of flow times.SISSAarXiv:1610.00685CERN-TH-2016-212oai:cds.cern.ch:22214322016-10-03
spellingShingle Particle Physics - Lattice
Bietenholz, Wolfgang
Cichy, Krzysztof
de Forcrand, Philippe
Dromard, Arthur
Gerber, Urs
The Slab Method to Measure the Topological Susceptibility
title The Slab Method to Measure the Topological Susceptibility
title_full The Slab Method to Measure the Topological Susceptibility
title_fullStr The Slab Method to Measure the Topological Susceptibility
title_full_unstemmed The Slab Method to Measure the Topological Susceptibility
title_short The Slab Method to Measure the Topological Susceptibility
title_sort slab method to measure the topological susceptibility
topic Particle Physics - Lattice
url https://dx.doi.org/10.22323/1.256.0321
http://cds.cern.ch/record/2221432
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