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Glueballs and strings in Sp(2N) Yang-Mills theories

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

Physical Review D, Volume: 103, Issue: 5

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

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DOI (Published version): 10.1103/physrevd.103.054509

Abstract

Motivated in part by the pseudo-Nambu Goldstone Boson mechanism of electroweak symmetry breaking in Composite Higgs Models, in part by dark matter scenarios with strongly coupled origin, as well as by general theoretical considerations related to the large-N extrapolation, we perform lattice studies...

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Published in: Physical Review D
ISSN: 2470-0010 2470-0029
Published: American Physical Society (APS) 2021
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa56146
Abstract: Motivated in part by the pseudo-Nambu Goldstone Boson mechanism of electroweak symmetry breaking in Composite Higgs Models, in part by dark matter scenarios with strongly coupled origin, as well as by general theoretical considerations related to the large-N extrapolation, we perform lattice studies of the Yang-Mills theories with Sp(2N) gauge groups. We measure the string tension and the mass spectrum of glueballs, extracted from appropriate 2-point correlation functions of operators organised as irreducible representations of the octahedral symmetry group. We perform the continuum extrapolation and study the magnitude of finite-size effects, showing that they are negligible in our calculation. We present new numerical results for N = 1, 2, 3, 4, combine them with data previously obtained for N = 2, and extrapolate towards N ! 1. We confirm explicitly the expectation that, as already known for N = 1, 2 also for N = 3, 4 a confining potential rising linearly with the distance binds a static quark to its antiquark. We compare our results to the existing literature on other gauge groups, with particular attention devoted to the large-N limit. We find agreement with the known values of the mass of the 0++, 0++⇤ and 2++ glueballs obtained taking the large-N limit in the SU(N) groups. In addition, we determine for the first time the mass of some heavier glueball states at finite N in Sp(2N) and extrapolate the results towards N ! +1 taking the limit in the latter groups. Since the large-N limit of Sp(2N) is the same as in SU(N), our results are relevant also for the study of QCD-like theories.
College: Faculty of Science and Engineering
Funders: The work of E. B. has been funded by the Supercomputing Wales project, which is part-funded by the European Regional Development Fund (ERDF) via Welsh Government. J. H. is supported by the STFC Consolidated Grant No. ST/P00055X/1, by the College of Science, Swansea University, and by the Grant No. STFC-DTG ST/R505158/1. The work of D. K. H. was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2017R1D1A1B06033701). The work of J. W. L. is supported in part by the National Research Foundation of Korea funded by the Ministry of Science and ICT (NRF-2018R1C1B3001379) and in part by Korea Research Fellowship program funded by the Ministry of Science, ICT and Future Planning through the National Research Foundation of Korea (2016H1D3A1909283). The work of C. J. D. L. is supported by the Taiwanese MoST Grant No. 105-2628-M-009-003-MY4. 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 Award No. WM170010 and by the Leverhulme Trust Research Fellowship No. RF-2020-461\9. 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. D. V. thanks C. Bonati, M. D’Elia, and L. Gallina for useful discussions. Numerical simulations have been performed on the Swansea SUNBIRD system, on the local HPC clusters in Pusan National University (PNU) and in National Chiao-Tung University (NCTU), and on the Cambridge Service for Data Driven Discovery (CSD3). The Swansea SUNBIRD system is part of the Supercomputing Wales project, which is 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.
Issue: 5

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