Ergodic sampling of the topological charge using the density of states

Cossu, Guido; Lancaster, David; Lucini, Biagio; Pellegrini, Roberto; Rago, Antonio

doi:10.1140/epjc/s10052-021-09161-1

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Ergodic sampling of the topological charge using the density of states

Guido Cossu, David Lancaster, Biagio Lucini

, Roberto Pellegrini, Antonio Rago

The European Physical Journal C, Volume: 81, Issue: 4

Swansea University Author: Biagio Lucini

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DOI (Published version): 10.1140/epjc/s10052-021-09161-1

Abstract

In lattice calculations, the approach to the continuum limit is hindered by the severe freezing of the topological charge, which prevents ergodic sampling in configuration space. In order to significantly reduce the autocorrelation time of the topological charge, we develop a density of states appro...

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Published in:	The European Physical Journal C
ISSN:	1434-6044 1434-6052
Published:	Springer Science and Business Media LLC 2021
Online Access:	Check full text
URI:	https://cronfa.swan.ac.uk/Record/cronfa56806
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first_indexed	2021-05-05T15:39:34Z
last_indexed	2021-12-01T04:15:43Z
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spelling	2021-11-30T15:57:50.6095318 v2 56806 2021-05-05 Ergodic sampling of the topological charge using the density of states 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 2021-05-05 SMA In lattice calculations, the approach to the continuum limit is hindered by the severe freezing of the topological charge, which prevents ergodic sampling in configuration space. In order to significantly reduce the autocorrelation time of the topological charge, we develop a density of states approach with a smooth constraint and use it to study SU(3) pure Yang Mills gauge theory near the continuum limit. Our algorithm relies on simulated tempering across a range of couplings, which guarantees the decorrelation of the topological charge and ergodic sampling of topological sectors. Particular emphasis is placed on testing the accuracy, efficiency and scaling properties of the method. In their most conservative interpretation, our results provide firm evidence of a sizeable reduction of the exponent z related to the growth of the autocorrelation time as a function of the inverse lattice spacing. Journal Article The European Physical Journal C 81 4 Springer Science and Business Media LLC 1434-6044 1434-6052 29 4 2021 2021-04-29 10.1140/epjc/s10052-021-09161-1 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University External research funder(s) paid the OA fee (includes OA grants disbursed by the Library) Royal Society, STFC, WEFO (ERDF), Wolfson Foundation. 2021-11-30T15:57:50.6095318 2021-05-05T16:29:34.2251301 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Guido Cossu 1 David Lancaster 2 Biagio Lucini 0000-0001-8974-8266 3 Roberto Pellegrini 4 Antonio Rago 5 56806__19805__146d43f5c228431c8b73c8b2501ddf69.pdf Cossu2021_Article_ErgodicSamplingOfTheTopologica.pdf 2021-05-05T16:36:58.6912913 Output 2394679 application/pdf Version of Record true © The Author(s) 2021. This article is licensed under a Creative Commons Attribution 4.0 International License true eng https://creativecommons.org/licenses/by/4.0/
title	Ergodic sampling of the topological charge using the density of states
spellingShingle	Ergodic sampling of the topological charge using the density of states Biagio Lucini
title_short	Ergodic sampling of the topological charge using the density of states
title_full	Ergodic sampling of the topological charge using the density of states
title_fullStr	Ergodic sampling of the topological charge using the density of states
title_full_unstemmed	Ergodic sampling of the topological charge using the density of states
title_sort	Ergodic sampling of the topological charge using the density of states
author_id_str_mv	7e6fcfe060e07a351090e2a8aba363cf
author_id_fullname_str_mv	7e6fcfe060e07a351090e2a8aba363cf_***_Biagio Lucini
author	Biagio Lucini
author2	Guido Cossu David Lancaster Biagio Lucini Roberto Pellegrini Antonio Rago
format	Journal article
container_title	The European Physical Journal C
container_volume	81
container_issue	4
publishDate	2021
institution	Swansea University
issn	1434-6044 1434-6052
doi_str_mv	10.1140/epjc/s10052-021-09161-1
publisher	Springer Science and Business Media LLC
college_str	Faculty of Science and Engineering
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hierarchy_top_title	Faculty of Science and Engineering
hierarchy_parent_id	facultyofscienceandengineering
hierarchy_parent_title	Faculty of Science and Engineering
department_str	School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
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description	In lattice calculations, the approach to the continuum limit is hindered by the severe freezing of the topological charge, which prevents ergodic sampling in configuration space. In order to significantly reduce the autocorrelation time of the topological charge, we develop a density of states approach with a smooth constraint and use it to study SU(3) pure Yang Mills gauge theory near the continuum limit. Our algorithm relies on simulated tempering across a range of couplings, which guarantees the decorrelation of the topological charge and ergodic sampling of topological sectors. Particular emphasis is placed on testing the accuracy, efficiency and scaling properties of the method. In their most conservative interpretation, our results provide firm evidence of a sizeable reduction of the exponent z related to the growth of the autocorrelation time as a function of the inverse lattice spacing.
published_date	2021-04-29T04:12:02Z
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score	11.013619

Ergodic sampling of the topological charge using the density of states

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