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Symplectic lattice gauge theories in the grid framework: Approaching the conformal window

Ed Bennett Orcid Logo, Peter A. Boyle, Luigi Del Debbio, Niccolo Forzano, Deog Ki Hong, Jong-Wan Lee, Julian Lenz, C.-J. David Lin, Biagio Lucini Orcid Logo, Alessandro Lupo Orcid Logo, Maurizio Piai Orcid Logo, Davide Vadacchino Orcid Logo

Physical Review D, Volume: 108, Issue: 9

Swansea University Authors: Ed Bennett Orcid Logo, Niccolo Forzano, Julian Lenz, Biagio Lucini Orcid Logo, Maurizio Piai Orcid Logo

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DOI (Published version): 10.1103/physrevd.108.094508

Abstract

Symplectic gauge theories coupled to matter fields lead to symmetry enhancement phenomena that have potential applications in such diverse contexts as composite Higgs, top partial compositeness, strongly interacting dark matter, and dilaton-Higgs models. These theories are also interesting on theore...

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Published in: Physical Review D
ISSN: 2470-0010 2470-0029
Published: American Physical Society (APS) 2023
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These theories are also interesting on theoretical grounds, for example in reference to the approach to the large-N limit. A particularly compelling research aim is the determination of the extent of the conformal window in gauge theories with symplectic groups coupled to matter, for different groups and for field content consisting of fermions transforming in different representations. Such determination would have far-reaching implications, but requires overcoming huge technical challenges.Numerical studies based on lattice field theory can provide the quantitative information neces- sary to this endeavour. We developed new software to implement symplectic groups in the Monte Carlo algorithms within the Grid framework. In this paper, we focus most of our attention on the Sp(4) lattice gauge theory coupled to four (Wilson-Dirac) fermions transforming in the 2-index antisymmetric representation, as a case study. We discuss an extensive catalogue of technical tests of the algorithms and present preliminary measurements to set the stage for future large-scale nu- merical investigations. We also include the scan of parameter space of all asymptotically free Sp(4) lattice gauge theories coupled to varying number of fermions transforming in the antisymmetric representation.</abstract><type>Journal Article</type><journal>Physical Review D</journal><volume>108</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>20</publishedDay><publishedMonth>11</publishedMonth><publishedYear>2023</publishedYear><publishedDate>2023-11-20</publishedDate><doi>10.1103/physrevd.108.094508</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>Thework of E.B., J.L., and B.L. has been funded by the Theoretical and Experimental Particle Physics at the Exascale Frontier (ExaTEPP) project No. EP/X017168/1. The work of E.B. and J.L. has also been supported by the UKRI Science and Technology Facilities Council (STFC) Research Software Engineering Fellowship EP/V052489/1. The work of N.F. has been supported by the STFC Consolidated Grant No. ST/X508834/1. The work of P.B. was supported in part by U.S. DOE Contract No. DESC0012704(BNL), and in part by the Scientific Discovery through Advanced Computing (SciDAC) programLAB22-2580.TheworkofD.K.H.wassupportedby Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2017R1D1A1B06033701). The work of L.D.D. and A.L. was supported by the ExaTEPP project EP/X01696X/1. The work of J.W.L. was supported in part by the National Research Foundation of Korea (NRF) grant funded by the Korea government(MSIT) (NRF-2018R1C1B3001379) and by IBS under the project code, IBS-R018-D1. The work of D.K.H. and J.W.L. was further supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (2021R1A4A5031460). The work of C.J.D.L. is supported by the Taiwanese NSTC GrantNo.109-2112-M-009-006-MY3.D.V.issupportedby a STFCnewapplicant scheme grant. 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., M.P., A.L., and L.D.D. received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program underGrantAgreementNo.813942.TheworkofB.L. is further supported in part by the EPSRCExCALIBUR programme ExaTEPP (project EP/X017168/1), by the Royal Society Wolfson Research Merit Award WM170010 and by the Leverhulme Trust Research FellowshipNo. RF-2020-4619. L.D.D. is supported by theUKScienceandTechnologyFacilityCouncil (STFC) grantNo.ST/P000630/1.Numericalsimulationshavebeen performedontheSwanseaSUNBIRDcluster (partof the SupercomputingWalesproject)andAccelerateAIA100GPU system,andontheDiRACExtremeScalingserviceat the University of Edinburgh. Supercomputing Wales and AccelerateAI are part fundedby theEuropeanRegional Development Fund (ERDF) viaWelshGovernment. 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spelling v2 64829 2023-10-26 Symplectic lattice gauge theories in the grid framework: Approaching the conformal window e1a8e7927d2b093acdc54e74eac95e38 0000-0002-1678-6701 Ed Bennett Ed Bennett true false e60be1aa4478b6e530f4bdf6c1cf9857 Niccolo Forzano Niccolo Forzano true false c4e7af24c5fbc16da11727a0c6ade30d Julian Lenz Julian Lenz true false 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 3ce295f2c7cc318bac7da18f9989d8c3 0000-0002-2251-0111 Maurizio Piai Maurizio Piai true false 2023-10-26 SMA Symplectic gauge theories coupled to matter fields lead to symmetry enhancement phenomena that have potential applications in such diverse contexts as composite Higgs, top partial compositeness, strongly interacting dark matter, and dilaton-Higgs models. These theories are also interesting on theoretical grounds, for example in reference to the approach to the large-N limit. A particularly compelling research aim is the determination of the extent of the conformal window in gauge theories with symplectic groups coupled to matter, for different groups and for field content consisting of fermions transforming in different representations. Such determination would have far-reaching implications, but requires overcoming huge technical challenges.Numerical studies based on lattice field theory can provide the quantitative information neces- sary to this endeavour. We developed new software to implement symplectic groups in the Monte Carlo algorithms within the Grid framework. In this paper, we focus most of our attention on the Sp(4) lattice gauge theory coupled to four (Wilson-Dirac) fermions transforming in the 2-index antisymmetric representation, as a case study. We discuss an extensive catalogue of technical tests of the algorithms and present preliminary measurements to set the stage for future large-scale nu- merical investigations. We also include the scan of parameter space of all asymptotically free Sp(4) lattice gauge theories coupled to varying number of fermions transforming in the antisymmetric representation. Journal Article Physical Review D 108 9 American Physical Society (APS) 2470-0010 2470-0029 20 11 2023 2023-11-20 10.1103/physrevd.108.094508 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University SU Library paid the OA fee (TA Institutional Deal) Thework of E.B., J.L., and B.L. has been funded by the Theoretical and Experimental Particle Physics at the Exascale Frontier (ExaTEPP) project No. EP/X017168/1. The work of E.B. and J.L. has also been supported by the UKRI Science and Technology Facilities Council (STFC) Research Software Engineering Fellowship EP/V052489/1. The work of N.F. has been supported by the STFC Consolidated Grant No. ST/X508834/1. The work of P.B. was supported in part by U.S. DOE Contract No. DESC0012704(BNL), and in part by the Scientific Discovery through Advanced Computing (SciDAC) programLAB22-2580.TheworkofD.K.H.wassupportedby Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2017R1D1A1B06033701). The work of L.D.D. and A.L. was supported by the ExaTEPP project EP/X01696X/1. The work of J.W.L. was supported in part by the National Research Foundation of Korea (NRF) grant funded by the Korea government(MSIT) (NRF-2018R1C1B3001379) and by IBS under the project code, IBS-R018-D1. The work of D.K.H. and J.W.L. was further supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (2021R1A4A5031460). The work of C.J.D.L. is supported by the Taiwanese NSTC GrantNo.109-2112-M-009-006-MY3.D.V.issupportedby a STFCnewapplicant scheme grant. 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., M.P., A.L., and L.D.D. received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program underGrantAgreementNo.813942.TheworkofB.L. is further supported in part by the EPSRCExCALIBUR programme ExaTEPP (project EP/X017168/1), by the Royal Society Wolfson Research Merit Award WM170010 and by the Leverhulme Trust Research FellowshipNo. RF-2020-4619. L.D.D. is supported by theUKScienceandTechnologyFacilityCouncil (STFC) grantNo.ST/P000630/1.Numericalsimulationshavebeen performedontheSwanseaSUNBIRDcluster (partof the SupercomputingWalesproject)andAccelerateAIA100GPU system,andontheDiRACExtremeScalingserviceat the University of Edinburgh. Supercomputing Wales and AccelerateAI are part fundedby theEuropeanRegional Development Fund (ERDF) viaWelshGovernment. The DiRACExtremeScalingserviceisoperatedbytheEdinburgh ParallelComputingCentreonbehalfof theSTFCDiRAC HPCFacility(www.dirac.ac.uk).Thisequipmentwasfunded byBEIScapital fundingviaSTFCcapitalGrantNo.ST/ R00238X/1andSTFCDiRACOperationsgrantNo. ST/ R001006/1.DiRACispartoftheNationale-Infrastructure. 2024-04-11T17:45:09.5119885 2023-10-26T14:47:32.6355987 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Ed Bennett 0000-0002-1678-6701 1 Peter A. Boyle 2 Luigi Del Debbio 3 Niccolo Forzano 4 Deog Ki Hong 5 Jong-Wan Lee 6 Julian Lenz 7 C.-J. David Lin 8 Biagio Lucini 0000-0001-8974-8266 9 Alessandro Lupo 0000-0001-9661-7811 10 Maurizio Piai 0000-0002-2251-0111 11 Davide Vadacchino 0000-0002-5783-5602 12 64829__30005__079d155dbc9f46799a4277638edc77bc.pdf 64829.VOR.pdf 2024-04-11T17:42:14.2977015 Output 1359642 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/ 213 Niccolo Forzano 0000-0003-0985-8858 2227764@swansea.ac.uk true doi:10.5281/zenodo.8136452 and doi:10.5281/zenodo.8136514 false
title Symplectic lattice gauge theories in the grid framework: Approaching the conformal window
spellingShingle Symplectic lattice gauge theories in the grid framework: Approaching the conformal window
Ed Bennett
Niccolo Forzano
Julian Lenz
Biagio Lucini
Maurizio Piai
title_short Symplectic lattice gauge theories in the grid framework: Approaching the conformal window
title_full Symplectic lattice gauge theories in the grid framework: Approaching the conformal window
title_fullStr Symplectic lattice gauge theories in the grid framework: Approaching the conformal window
title_full_unstemmed Symplectic lattice gauge theories in the grid framework: Approaching the conformal window
title_sort Symplectic lattice gauge theories in the grid framework: Approaching the conformal window
author_id_str_mv e1a8e7927d2b093acdc54e74eac95e38
e60be1aa4478b6e530f4bdf6c1cf9857
c4e7af24c5fbc16da11727a0c6ade30d
7e6fcfe060e07a351090e2a8aba363cf
3ce295f2c7cc318bac7da18f9989d8c3
author_id_fullname_str_mv e1a8e7927d2b093acdc54e74eac95e38_***_Ed Bennett
e60be1aa4478b6e530f4bdf6c1cf9857_***_Niccolo Forzano
c4e7af24c5fbc16da11727a0c6ade30d_***_Julian Lenz
7e6fcfe060e07a351090e2a8aba363cf_***_Biagio Lucini
3ce295f2c7cc318bac7da18f9989d8c3_***_Maurizio Piai
author Ed Bennett
Niccolo Forzano
Julian Lenz
Biagio Lucini
Maurizio Piai
author2 Ed Bennett
Peter A. Boyle
Luigi Del Debbio
Niccolo Forzano
Deog Ki Hong
Jong-Wan Lee
Julian Lenz
C.-J. David Lin
Biagio Lucini
Alessandro Lupo
Maurizio Piai
Davide Vadacchino
format Journal article
container_title Physical Review D
container_volume 108
container_issue 9
publishDate 2023
institution Swansea University
issn 2470-0010
2470-0029
doi_str_mv 10.1103/physrevd.108.094508
publisher American Physical Society (APS)
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 Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str 1
active_str 0
description Symplectic gauge theories coupled to matter fields lead to symmetry enhancement phenomena that have potential applications in such diverse contexts as composite Higgs, top partial compositeness, strongly interacting dark matter, and dilaton-Higgs models. These theories are also interesting on theoretical grounds, for example in reference to the approach to the large-N limit. A particularly compelling research aim is the determination of the extent of the conformal window in gauge theories with symplectic groups coupled to matter, for different groups and for field content consisting of fermions transforming in different representations. Such determination would have far-reaching implications, but requires overcoming huge technical challenges.Numerical studies based on lattice field theory can provide the quantitative information neces- sary to this endeavour. We developed new software to implement symplectic groups in the Monte Carlo algorithms within the Grid framework. In this paper, we focus most of our attention on the Sp(4) lattice gauge theory coupled to four (Wilson-Dirac) fermions transforming in the 2-index antisymmetric representation, as a case study. We discuss an extensive catalogue of technical tests of the algorithms and present preliminary measurements to set the stage for future large-scale nu- merical investigations. We also include the scan of parameter space of all asymptotically free Sp(4) lattice gauge theories coupled to varying number of fermions transforming in the antisymmetric representation.
published_date 2023-11-20T17:45:05Z
_version_ 1796057496595464192
score 11.013686

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