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Testing trivializing maps in the Hybrid Monte Carlo algorithm

We test a recent proposal to use approximate trivializing maps in a field theory to speed up Hybrid Monte Carlo simulations. Simulating the [Formula: see text] model, we find a small improvement with the leading order transformation, which is however compensated by the additional computational overh...

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Detalles Bibliográficos
Autores principales: Engel, Georg P., Schaefer, Stefan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: North-Holland Pub. Co 2011
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3160775/
https://www.ncbi.nlm.nih.gov/pubmed/21969733
http://dx.doi.org/10.1016/j.cpc.2011.05.004
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author Engel, Georg P.
Schaefer, Stefan
author_facet Engel, Georg P.
Schaefer, Stefan
author_sort Engel, Georg P.
collection PubMed
description We test a recent proposal to use approximate trivializing maps in a field theory to speed up Hybrid Monte Carlo simulations. Simulating the [Formula: see text] model, we find a small improvement with the leading order transformation, which is however compensated by the additional computational overhead. The scaling of the algorithm towards the continuum is not changed. In particular, the effect of the topological modes on the autocorrelation times is studied.
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spelling pubmed-31607752011-10-01 Testing trivializing maps in the Hybrid Monte Carlo algorithm Engel, Georg P. Schaefer, Stefan Comput Phys Commun Article We test a recent proposal to use approximate trivializing maps in a field theory to speed up Hybrid Monte Carlo simulations. Simulating the [Formula: see text] model, we find a small improvement with the leading order transformation, which is however compensated by the additional computational overhead. The scaling of the algorithm towards the continuum is not changed. In particular, the effect of the topological modes on the autocorrelation times is studied. North-Holland Pub. Co 2011-10 /pmc/articles/PMC3160775/ /pubmed/21969733 http://dx.doi.org/10.1016/j.cpc.2011.05.004 Text en © 2011 Elsevier B.V. https://creativecommons.org/licenses/by-nc-nd/3.0/ Open Access under CC BY-NC-ND 3.0 (https://creativecommons.org/licenses/by-nc-nd/3.0/) license
spellingShingle Article
Engel, Georg P.
Schaefer, Stefan
Testing trivializing maps in the Hybrid Monte Carlo algorithm
title Testing trivializing maps in the Hybrid Monte Carlo algorithm
title_full Testing trivializing maps in the Hybrid Monte Carlo algorithm
title_fullStr Testing trivializing maps in the Hybrid Monte Carlo algorithm
title_full_unstemmed Testing trivializing maps in the Hybrid Monte Carlo algorithm
title_short Testing trivializing maps in the Hybrid Monte Carlo algorithm
title_sort testing trivializing maps in the hybrid monte carlo algorithm
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3160775/
https://www.ncbi.nlm.nih.gov/pubmed/21969733
http://dx.doi.org/10.1016/j.cpc.2011.05.004
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