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Towards glueball masses of large-N SU(N) pure-gauge theories without topological freezing

Claudio Bonanno Orcid Logo, Massimo D'Elia, Biagio Lucini Orcid Logo, Davide Vadacchino

Physics Letters B, Volume: 833, Start page: 137281

Swansea University Author: Biagio Lucini Orcid Logo

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DOI (Published version): 10.1016/j.physletb.2022.137281

Abstract

In commonly used Monte Carlo algorithms for lattice gauge theories the integrated autocorrelation time of the topological charge is known to be exponentially-growing as the continuum limit is approached. This topological freezing, whose severity increases with the size of the gauge group, can result...

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Published in: Physics Letters B
ISSN: 0370-2693
Published: Elsevier BV 2022
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URI: https://cronfa.swan.ac.uk/Record/cronfa60425
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first_indexed 2022-07-08T18:11:35Z
last_indexed 2023-01-13T19:20:32Z
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spelling 2022-07-12T16:02:44.9533812 v2 60425 2022-07-08 Towards glueball masses of large-N SU(N) pure-gauge theories without topological freezing 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 2022-07-08 SMA In commonly used Monte Carlo algorithms for lattice gauge theories the integrated autocorrelation time of the topological charge is known to be exponentially-growing as the continuum limit is approached. This topological freezing, whose severity increases with the size of the gauge group, can result in potentially large systematics. To provide a direct quantification of the latter, we focus on Yang–Mills theory at a lattice spacing for which conventional methods associated to the decorrelation of the topological charge have an unbearable computational cost. We adopt the recently proposed parallel tempering on boundary conditions algorithm, which has been shown to remove systematic effects related to topological freezing, and compute glueball masses with a typical accuracy of . We observe no sizeable systematic effect in the mass of the first lowest-lying glueball states, with respect to calculations performed at nearly-frozen topological sector. Journal Article Physics Letters B 833 137281 Elsevier BV 0370-2693 Glueball masses; Large-N; Topological freezing 10 10 2022 2022-10-10 10.1016/j.physletb.2022.137281 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University External research funder(s) paid the OA fee (includes OA grants disbursed by the Library) STFC, Leverhulme Trust, Royal Society, ERC, Simons Foundation ST/P00055X/1, ST/T000813/1, 813942, WM170010, RF-2020-4619 2022-07-12T16:02:44.9533812 2022-07-08T18:59:11.2038966 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Claudio Bonanno 0000-0002-1421-6510 1 Massimo D'Elia 2 Biagio Lucini 0000-0001-8974-8266 3 Davide Vadacchino 4 60425__24516__7e224457cda842b1906e05d0510f99eb.pdf 1-s2.0-S0370269322004154-main.pdf 2022-07-08T19:09:22.4231243 Output 388078 application/pdf Version of Record true © 2022 The Author(s). This is an open access article under the CC BY license true eng https://creativecommons.org/licenses/by/4.0/
title Towards glueball masses of large-N SU(N) pure-gauge theories without topological freezing
spellingShingle Towards glueball masses of large-N SU(N) pure-gauge theories without topological freezing
Biagio Lucini
title_short Towards glueball masses of large-N SU(N) pure-gauge theories without topological freezing
title_full Towards glueball masses of large-N SU(N) pure-gauge theories without topological freezing
title_fullStr Towards glueball masses of large-N SU(N) pure-gauge theories without topological freezing
title_full_unstemmed Towards glueball masses of large-N SU(N) pure-gauge theories without topological freezing
title_sort Towards glueball masses of large-N SU(N) pure-gauge theories without topological freezing
author_id_str_mv 7e6fcfe060e07a351090e2a8aba363cf
author_id_fullname_str_mv 7e6fcfe060e07a351090e2a8aba363cf_***_Biagio Lucini
author Biagio Lucini
author2 Claudio Bonanno
Massimo D'Elia
Biagio Lucini
Davide Vadacchino
format Journal article
container_title Physics Letters B
container_volume 833
container_start_page 137281
publishDate 2022
institution Swansea University
issn 0370-2693
doi_str_mv 10.1016/j.physletb.2022.137281
publisher Elsevier BV
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
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
document_store_str 1
active_str 0
description In commonly used Monte Carlo algorithms for lattice gauge theories the integrated autocorrelation time of the topological charge is known to be exponentially-growing as the continuum limit is approached. This topological freezing, whose severity increases with the size of the gauge group, can result in potentially large systematics. To provide a direct quantification of the latter, we focus on Yang–Mills theory at a lattice spacing for which conventional methods associated to the decorrelation of the topological charge have an unbearable computational cost. We adopt the recently proposed parallel tempering on boundary conditions algorithm, which has been shown to remove systematic effects related to topological freezing, and compute glueball masses with a typical accuracy of . We observe no sizeable systematic effect in the mass of the first lowest-lying glueball states, with respect to calculations performed at nearly-frozen topological sector.
published_date 2022-10-10T04:18:31Z
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score 11.013037

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