Topological susceptibility, scale setting and universality from Sp(Nc) gauge theories

D. Vadacchino, E. Bennett, C. J. David Lin, D. K. Hong, J. W. Lee, B. Lucini, M. Piai

Research output: Contribution to journalConference articlepeer-review


In this contribution, we report on our study of the properties of the Wilson flow and on the calculation of the topological susceptibility of Sp(Nc) gauge theories for Nc = 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 SU(Nc), and the commonly used scales t0 and w0 are obtained for a large interval of the inverse coupling for each probed value of Nc. 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 SU(Nc) Yang-Mills theories by several independent collaborations allow us to test this conjecture and to obtain a universal large-Nc limit of the rescaled topological susceptibility.

Original languageEnglish
Article number400
JournalProceedings of Science
StatePublished - 6 Apr 2023
Event39th International Symposium on Lattice Field Theory, LATTICE 2022 - Bonn, Germany
Duration: 8 Aug 202213 Aug 2022


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