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

2022/11/04 by Davide Vadacchino, Vadacchino, Davide, Ed Bennett +11
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.2211.02370

openalex publication_date 2022/11/04 · openalex created_date 2022/11/12 · openalex updated_date 2026/07/28

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.

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• The large N limit of the topological susceptibility of Yang-Mills gauge theory
• The large-N limit of the topological susceptibility of SU(N) Yang-Mills theories via Parallel Tempering on Boundary Conditions
• Topological susceptibility and excess kurtosis in SU(3) Yang-Mills theory
• Large N lattice gauge theory
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