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Sp(2N) Yang-Mills theories on the lattice: Scale setting and topology
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...
Published in: | Physical Review D |
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ISSN: | 2470-0010 2470-0029 |
Published: |
American Physical Society (APS)
2022
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Online Access: |
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URI: | https://cronfa.swan.ac.uk/Record/cronfa61426 |
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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 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. |
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College: |
Faculty of Science and Engineering |
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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. |
Issue: |
9 |