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Abstract

For Yang-Mills theories in four dimensions, we propose to rescale the ratio between topologicalsusceptibility and string tension squared in a universal way, dependent only on group factors. We applythis suggestion to SU(Nc ) and Sp(Nc ) groups, and compare lattice measurements performed by severalindependent collaborations. We show that the two sequences of (rescaled) numerical results in these twofamilies of groups are compatible with each other. We hence perform a combined fit, and extrapolate tothe common large-Nc limit.

Publication Date

2022-12-10

Publication Title

Physics Letters B

Volume

835

ISSN

1873-2445

Acceptance Date

2022-10-12

Deposit Date

2023-04-28

Embargo Period

2023-04-29

Funding

The work of EB has been funded in part by the Supercomputing Wales project, which is part-funded by the European Regional Development Fund (ERDF) via Welsh Government under operation numbers 80898 and 80900, and by the UKRI Science and Technology Facilities Council (STFC) Research Software Engineering Fellowship EP/V052489/1. The work of DKH 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 (NRF-2017R1D1A1B06033701). The work of JWL is supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (NRF-2018R1C1B3001379). The work of CJDL is supported by the Taiwanese MoST grant 109-2112-M-009-006-MY3. The work of BL and MP is supported in part by the STFC Consolidated Grants No. ST/P00055X/1 and No. ST/T000813/1. BL and MP 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 BL is further supported in part by the Royal Society Wolfson Research Merit Award WM170010 and by the Leverhulme Trust Research Fellowship No. RF-2020-4619. The work of DV 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 ST/K000373/1 and ST/R002363/1 and STFC DiRAC Operations grant ST/R001014/1. DiRAC is part of the National e-Infrastructure.

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

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