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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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URI: https://cronfa.swan.ac.uk/Record/cronfa64829
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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 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.
College: Faculty of Science and Engineering
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. The DiRACExtremeScalingserviceisoperatedbytheEdinburgh ParallelComputingCentreonbehalfof theSTFCDiRAC HPCFacility(www.dirac.ac.uk).Thisequipmentwasfunded byBEIScapital fundingviaSTFCcapitalGrantNo.ST/ R00238X/1andSTFCDiRACOperationsgrantNo. ST/ R001006/1.DiRACispartoftheNationale-Infrastructure.
Issue: 9

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