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Ergodic sampling of the topological charge using the density of states
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...
Published in: | The European Physical Journal C |
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ISSN: | 1434-6044 1434-6052 |
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Springer Science and Business Media LLC
2021
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URI: | https://cronfa.swan.ac.uk/Record/cronfa56806 |
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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 |
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81 |
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4 |
publishDate |
2021 |
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Swansea University |
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1434-6044 1434-6052 |
doi_str_mv |
10.1140/epjc/s10052-021-09161-1 |
publisher |
Springer Science and Business Media LLC |
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Faculty of Science and Engineering |
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Faculty of Science and Engineering |
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facultyofscienceandengineering |
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Faculty of Science and Engineering |
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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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1763753824310263808 |
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11.021648 |