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Topological susceptibility, scale setting and universality from Sp(Nc) gauge theories

Davide Vadacchino, Ed Bennett Orcid Logo, C.-J. David Lin, Deog Ki Hong, Jong-Wan Lee, Biagio Lucini Orcid Logo, Maurizio Piai Orcid Logo

Proceedings of The 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022), Volume: 430

Swansea University Authors: Ed Bennett Orcid Logo, Biagio Lucini Orcid Logo, Maurizio Piai Orcid Logo

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DOI (Published version): 10.22323/1.430.0400

Abstract

In this contribution, we report on our study of the properties of the Wilson flow and on the calculation of the topological susceptibility of () gauge theories for = 2, 4, 6, 8. The Wilson flow is shown to scale according to the quadratic Casimir operator of the gauge group, as was already observed...

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Published in: Proceedings of The 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022)
ISSN: 1824-8039 1824-8039
Published: Trieste, Italy Sissa Medialab 2022
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URI: https://cronfa.swan.ac.uk/Record/cronfa62318
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spelling 2023-02-03T15:10:37.2909057 v2 62318 2023-01-13 Topological susceptibility, scale setting and universality from Sp(Nc) gauge theories e1a8e7927d2b093acdc54e74eac95e38 0000-0002-1678-6701 Ed Bennett Ed Bennett true false 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 3ce295f2c7cc318bac7da18f9989d8c3 0000-0002-2251-0111 Maurizio Piai Maurizio Piai true false 2023-01-13 MACS In this contribution, we report on our study of the properties of the Wilson flow and on the calculation of the topological susceptibility of () gauge theories for = 2, 4, 6, 8. The Wilson flow is shown to scale according to the quadratic Casimir operator of the gauge group, as was already observed for (), and the commonly used scales 0 and 0 are obtained for a large interval of the inverse coupling for each probed value of . The continuum limit of the topological susceptibility is computed and we conjecture that it scales with the dimension of the group. The lattice measurements performed in the () Yang-Mills theories by several independent collaborations allow us to test this conjecture and to obtain a universal large- limit of the rescaled topological susceptibility. Conference Paper/Proceeding/Abstract Proceedings of The 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022) 430 Sissa Medialab Trieste, Italy 1824-8039 1824-8039 5 12 2022 2022-12-05 10.22323/1.430.0400 COLLEGE NANME Mathematics and Computer Science School COLLEGE CODE MACS Swansea University Not Required The Swansea SUNBIRD system and AccelerateAI are part funded by the European Regional Development Fund (ERDF) via Welsh Government. CSD3 is operated in part by the University of Cambridge Research Computing on behalf of the STFC DiRAC HPC Facility (www.dirac.ac.uk). The DiRAC component of CSD3 was funded by BEIS capital funding via STFC capital Grants No. ST/P002307/1 and No. ST/R002452/1 and STFC operations Grant No. ST/ R00689X/1. DiRAC is part of the National e-Infrastructure. 2023-02-03T15:10:37.2909057 2023-01-13T09:38:43.5037493 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Davide Vadacchino 1 Ed Bennett 0000-0002-1678-6701 2 C.-J. David Lin 3 Deog Ki Hong 4 Jong-Wan Lee 5 Biagio Lucini 0000-0001-8974-8266 6 Maurizio Piai 0000-0002-2251-0111 7 62318__26414__88a353e3949142e4a484c9ab63b4426a.pdf 62318.pdf 2023-01-27T09:43:00.0666216 Output 900697 application/pdf Version of Record true © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0) true eng https://creativecommons.org/licenses/by-nc-nd/4.0/
title Topological susceptibility, scale setting and universality from Sp(Nc) gauge theories
spellingShingle Topological susceptibility, scale setting and universality from Sp(Nc) gauge theories
Ed Bennett
Biagio Lucini
Maurizio Piai
title_short Topological susceptibility, scale setting and universality from Sp(Nc) gauge theories
title_full Topological susceptibility, scale setting and universality from Sp(Nc) gauge theories
title_fullStr Topological susceptibility, scale setting and universality from Sp(Nc) gauge theories
title_full_unstemmed Topological susceptibility, scale setting and universality from Sp(Nc) gauge theories
title_sort Topological susceptibility, scale setting and universality from Sp(Nc) gauge theories
author_id_str_mv e1a8e7927d2b093acdc54e74eac95e38
7e6fcfe060e07a351090e2a8aba363cf
3ce295f2c7cc318bac7da18f9989d8c3
author_id_fullname_str_mv e1a8e7927d2b093acdc54e74eac95e38_***_Ed Bennett
7e6fcfe060e07a351090e2a8aba363cf_***_Biagio Lucini
3ce295f2c7cc318bac7da18f9989d8c3_***_Maurizio Piai
author Ed Bennett
Biagio Lucini
Maurizio Piai
author2 Davide Vadacchino
Ed Bennett
C.-J. David Lin
Deog Ki Hong
Jong-Wan Lee
Biagio Lucini
Maurizio Piai
format Conference Paper/Proceeding/Abstract
container_title Proceedings of The 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022)
container_volume 430
publishDate 2022
institution Swansea University
issn 1824-8039
1824-8039
doi_str_mv 10.22323/1.430.0400
publisher Sissa Medialab
college_str Faculty of Science and Engineering
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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
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description In this contribution, we report on our study of the properties of the Wilson flow and on the calculation of the topological susceptibility of () gauge theories for = 2, 4, 6, 8. The Wilson flow is shown to scale according to the quadratic Casimir operator of the gauge group, as was already observed for (), and the commonly used scales 0 and 0 are obtained for a large interval of the inverse coupling for each probed value of . The continuum limit of the topological susceptibility is computed and we conjecture that it scales with the dimension of the group. The lattice measurements performed in the () Yang-Mills theories by several independent collaborations allow us to test this conjecture and to obtain a universal large- limit of the rescaled topological susceptibility.
published_date 2022-12-05T05:22:41Z
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