TY - JOUR
T1 - Topological susceptibility, scale setting and universality from Sp(Nc) gauge theories
AU - Vadacchino, D.
AU - Bennett, E.
AU - David Lin, C. J.
AU - Hong, D. K.
AU - Lee, J. W.
AU - Lucini, B.
AU - Piai, M.
N1 - Publisher Copyright:
© Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0).
PY - 2023/4/6
Y1 - 2023/4/6
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85153224818&partnerID=8YFLogxK
M3 - Conference article
AN - SCOPUS:85153224818
SN - 1824-8039
VL - 430
JO - Proceedings of Science
JF - Proceedings of Science
M1 - 400
T2 - 39th International Symposium on Lattice Field Theory, LATTICE 2022
Y2 - 8 August 2022 through 13 August 2022
ER -