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

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

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

Institute of Physics

Research output: Contribution to journal › Conference article › peer-review

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 Sp(N_c) gauge theories for N_c = 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(N_c), and the commonly used scales t₀ and w₀ are obtained for a large interval of the inverse coupling for each probed value of N_c. 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(N_c) Yang-Mills theories by several independent collaborations allow us to test this conjecture and to obtain a universal large-N_c limit of the rescaled topological susceptibility.

Original language	English
Article number	400
Journal	Proceedings of Science
Volume	430
State	Published - 6 Apr 2023
Event	39th International Symposium on Lattice Field Theory, LATTICE 2022 - Bonn, Germany Duration: 8 Aug 2022 → 13 Aug 2022

Cite this

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

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 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.",

author = "D. Vadacchino and E. Bennett and {David Lin}, {C. J.} and Hong, {D. K.} and Lee, {J. W.} and B. Lucini and M. Piai",

note = "Publisher Copyright: {\textcopyright} 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).; 39th International Symposium on Lattice Field Theory, LATTICE 2022 ; Conference date: 08-08-2022 Through 13-08-2022",

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language = "English",

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journal = "Proceedings of Science",

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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 -

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

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