Sp(2N) Yang-Mills theories on the lattice: Scale setting and topology

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

doi:10.1103/physrevd.106.094503

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Sp(2N) Yang-Mills theories on the lattice: Scale setting and topology

Ed Bennett

, Deog Ki Hong, Jong-Wan Lee, C.-J. David Lin

, Biagio Lucini

, Maurizio Piai

, Davide Vadacchino

Physical Review D, Volume: 106, Issue: 9

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

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DOI (Published version): 10.1103/physrevd.106.094503

Abstract

We study Yang-Mills lattice theories with Sp(Nc) gauge group, with Nc = 2N, for N = 1, ··· , 4. We show that if we divide the renormalised couplings appearing in the Wilson flow by the quadratic Casimir C2(F) of the Sp(Nc) group, then the resulting quantities display a good agreement among all value...

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Published in:	Physical Review D
ISSN:	2470-0010 2470-0029
Published:	American Physical Society (APS) 2022
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URI:	https://cronfa.swan.ac.uk/Record/cronfa61426
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first_indexed	2022-10-05T08:27:15Z
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We show that if we divide the renormalised couplings appearing in the Wilson flow by the quadratic Casimir C2(F) of the Sp(Nc) group, then the resulting quantities display a good agreement among all values of Nc considered, over a finite interval in flow time. We use this scaled version of the Wilson flow as a scale-setting procedure, compute the topological susceptibility of the Sp(Nc) theories, and extrapolate the results to the continuum limit for each Nc.</abstract><type>Journal Article</type><journal>Physical Review D</journal><volume>106</volume><journalNumber>9</journalNumber><paginationStart/><paginationEnd/><publisher>American Physical Society (APS)</publisher><placeOfPublication/><isbnPrint/><isbnElectronic/><issnPrint>2470-0010</issnPrint><issnElectronic>2470-0029</issnElectronic><keywords/><publishedDay>15</publishedDay><publishedMonth>11</publishedMonth><publishedYear>2022</publishedYear><publishedDate>2022-11-15</publishedDate><doi>10.1103/physrevd.106.094503</doi><url/><notes/><college>COLLEGE NANME</college><department>Mathematics</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>SMA</DepartmentCode><institution>Swansea University</institution><apcterm>SU Library paid the OA fee (TA Institutional Deal)</apcterm><funders>The work of E. B. has been funded in part by the Supercomputing Wales project, which is part-funded by the European Regional Development Fund (ERDF) via Welsh Government, and by the UKRI Science and Technology Facilities Council (STFC) Research Software Engineering Fellowship No. EP/V052489/1. The work of D. K. H. was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (2021R1A4A5031460) and also by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF2017R1D1A1B06033701). The work of J.-W. L. is supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (NRF-2018R1C1B3001379). The work of C.-J. D. L. is supported by the Taiwanese MoST Grant No. 109-2112-M009-006-MY3. The work of B. L. and M. P. has been supported in part by the STFC Consolidated Grants No. ST/ P00055X/1 and No. ST/T000813/1. B. L. and M. P. received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program under Grant Agreement No. 813942. The work of B. L. is further supported in part by the Royal Society Wolfson Research Merit Grant No. WM170010 and by the Leverhulme Trust Research Fellowship No. RF-2020-4619. The work of D. V., is supported in part by the INFN HPC-HTC project and in part by the Simons Foundation under the program “Targeted Grants to Institutes” awarded to the Hamilton Mathematics Institute. Numerical simulations have been performed on the Swansea University SUNBIRD cluster (part of the Supercomputing Wales project) and AccelerateAI A100 GPU system, on the local HPC clusters in Pusan National University (PNU) and in National Yang Ming Chiao Tung University (NYCU), and the DiRAC Data Intensive service at Leicester. The Swansea University SUNBIRD system and AccelerateAI are part funded by the European Regional Development Fund (ERDF) via Welsh Government. The DiRAC Data Intensive service at Leicester is operated by the University of Leicester IT Services, which forms part of the STFC DiRAC HPC Facility (www.dirac.ac.uk). The DiRAC Data Intensive service equipment at Leicester was funded by BEIS capital funding via STFC capital Grants No. ST/K000373/1 and No. ST/R002363/1 and STFC DiRAC Operations Grant No. ST/R001014/1. 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spelling	2022-11-20T15:01:27.6092011 v2 61426 2022-10-05 Sp(2N) Yang-Mills theories on the lattice: Scale setting and topology 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 2022-10-05 SMA We study Yang-Mills lattice theories with Sp(Nc) gauge group, with Nc = 2N, for N = 1, ··· , 4. We show that if we divide the renormalised couplings appearing in the Wilson flow by the quadratic Casimir C2(F) of the Sp(Nc) group, then the resulting quantities display a good agreement among all values of Nc considered, over a finite interval in flow time. We use this scaled version of the Wilson flow as a scale-setting procedure, compute the topological susceptibility of the Sp(Nc) theories, and extrapolate the results to the continuum limit for each Nc. Journal Article Physical Review D 106 9 American Physical Society (APS) 2470-0010 2470-0029 15 11 2022 2022-11-15 10.1103/physrevd.106.094503 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University SU Library paid the OA fee (TA Institutional Deal) The work of E. B. has been funded in part by the Supercomputing Wales project, which is part-funded by the European Regional Development Fund (ERDF) via Welsh Government, and by the UKRI Science and Technology Facilities Council (STFC) Research Software Engineering Fellowship No. EP/V052489/1. The work of D. K. H. was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (2021R1A4A5031460) and also by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF2017R1D1A1B06033701). The work of J.-W. L. is supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (NRF-2018R1C1B3001379). The work of C.-J. D. L. is supported by the Taiwanese MoST Grant No. 109-2112-M009-006-MY3. The work of B. L. and M. P. has been supported in part by the STFC Consolidated Grants No. ST/ P00055X/1 and No. ST/T000813/1. B. L. and M. P. received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program under Grant Agreement No. 813942. The work of B. L. is further supported in part by the Royal Society Wolfson Research Merit Grant No. WM170010 and by the Leverhulme Trust Research Fellowship No. RF-2020-4619. The work of D. V., is supported in part by the INFN HPC-HTC project and in part by the Simons Foundation under the program “Targeted Grants to Institutes” awarded to the Hamilton Mathematics Institute. Numerical simulations have been performed on the Swansea University SUNBIRD cluster (part of the Supercomputing Wales project) and AccelerateAI A100 GPU system, on the local HPC clusters in Pusan National University (PNU) and in National Yang Ming Chiao Tung University (NYCU), and the DiRAC Data Intensive service at Leicester. The Swansea University SUNBIRD system and AccelerateAI are part funded by the European Regional Development Fund (ERDF) via Welsh Government. The DiRAC Data Intensive service at Leicester is operated by the University of Leicester IT Services, which forms part of the STFC DiRAC HPC Facility (www.dirac.ac.uk). The DiRAC Data Intensive service equipment at Leicester was funded by BEIS capital funding via STFC capital Grants No. ST/K000373/1 and No. ST/R002363/1 and STFC DiRAC Operations Grant No. ST/R001014/1. DiRAC is part of the National e-Infrastructure. 2022-11-20T15:01:27.6092011 2022-10-05T09:08:09.4427642 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Ed Bennett 0000-0002-1678-6701 1 Deog Ki Hong 2 Jong-Wan Lee 3 C.-J. David Lin 0000-0003-3743-0840 4 Biagio Lucini 0000-0001-8974-8266 5 Maurizio Piai 0000-0002-2251-0111 6 Davide Vadacchino 0000-0002-5783-5602 7 61426__25785__d55afb8f9be14ea9b27159760110572c.pdf PhysRevD.106.094503.pdf 2022-11-15T15:51:08.8202528 Output 2488939 application/pdf Version of Record true Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. true eng https://creativecommons.org/licenses/by/4.0/ 127 Ed Bennett 0000-0002-1678-6701 e.j.bennett@swansea.ac.uk true 10.5281/zenodo.6685967 false 128 Ed Bennett 0000-0002-1678-6701 e.j.bennett@swansea.ac.uk true 10.5281/zenodo.6678411 false
title	Sp(2N) Yang-Mills theories on the lattice: Scale setting and topology
spellingShingle	Sp(2N) Yang-Mills theories on the lattice: Scale setting and topology Ed Bennett Biagio Lucini Maurizio Piai
title_short	Sp(2N) Yang-Mills theories on the lattice: Scale setting and topology
title_full	Sp(2N) Yang-Mills theories on the lattice: Scale setting and topology
title_fullStr	Sp(2N) Yang-Mills theories on the lattice: Scale setting and topology
title_full_unstemmed	Sp(2N) Yang-Mills theories on the lattice: Scale setting and topology
title_sort	Sp(2N) Yang-Mills theories on the lattice: Scale setting and topology
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	Ed Bennett Deog Ki Hong Jong-Wan Lee C.-J. David Lin Biagio Lucini Maurizio Piai Davide Vadacchino
format	Journal article
container_title	Physical Review D
container_volume	106
container_issue	9
publishDate	2022
institution	Swansea University
issn	2470-0010 2470-0029
doi_str_mv	10.1103/physrevd.106.094503
publisher	American Physical Society (APS)
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 Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str	1
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description	We study Yang-Mills lattice theories with Sp(Nc) gauge group, with Nc = 2N, for N = 1, ··· , 4. We show that if we divide the renormalised couplings appearing in the Wilson flow by the quadratic Casimir C2(F) of the Sp(Nc) group, then the resulting quantities display a good agreement among all values of Nc considered, over a finite interval in flow time. We use this scaled version of the Wilson flow as a scale-setting procedure, compute the topological susceptibility of the Sp(Nc) theories, and extrapolate the results to the continuum limit for each Nc.
published_date	2022-11-15T04:20:15Z
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score	11.01306

Sp(2N) Yang-Mills theories on the lattice: Scale setting and topology

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