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Topological susceptibility, scale setting and universality from Sp(Nc) gauge theories
,
C.-J. David Lin,
Deog Ki Hong,
Jong-Wan Lee,
Biagio Lucini ,
Maurizio Piai
Proceedings of The 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022), Volume: 430
Swansea University Authors:
Ed Bennett , Biagio Lucini , Maurizio Piai
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DOI (Published version): 10.22323/1.430.0400
Abstract
In this contribution, we report on our study of the properties of the Wilson flow and on the calculation of the topological susceptibility of () gauge theories for = 2, 4, 6, 8. The Wilson flow is shown to scale according to the quadratic Casimir operator of the gauge group, as was already observed...
| Published in: | Proceedings of The 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022) |
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| ISSN: | 1824-8039 1824-8039 |
| Published: |
Trieste, Italy
Sissa Medialab
2022
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa62318 |
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| Abstract: |
In this contribution, we report on our study of the properties of the Wilson flow and on the calculation of the topological susceptibility of () gauge theories for = 2, 4, 6, 8. The Wilson flow is shown to scale according to the quadratic Casimir operator of the gauge group, as was already observed for (), and the commonly used scales 0 and 0 are obtained for a large interval of the inverse coupling for each probed value of . The continuum limit of the topological susceptibility is computed and we conjecture that it scales with the dimension of the group. The lattice measurements performed in the () Yang-Mills theories by several independent collaborations allow us to test this conjecture and to obtain a universal large- limit of the rescaled topological susceptibility. |
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| College: |
Faculty of Science and Engineering |
| Funders: |
The Swansea SUNBIRD system and AccelerateAI are 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. |