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Color dependence of the topological susceptibility in Yang-Mills theories

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arxiv 2205.09254 v3 pith:ZASP4TMT submitted 2022-05-19 hep-lat hep-phhep-th

Color dependence of the topological susceptibility in Yang-Mills theories

Ed Bennett , Deog Ki Hong , Jong-Wan Lee , C.-J. David Lin , Biagio Lucini , Maurizio Piai , Davide Vadacchino This is my paper
classification hep-lat hep-phhep-th
keywords groupssusceptibilitytheoriestopologicalyang-millsapplycollaborationscolor
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For Yang-Mills theories in four dimensions, we propose to rescale the ratio between topological susceptibility and string tension squared in a universal way, dependent only on group factors. We apply this suggestion to $SU(N_c)$ and $Sp(N_c)$ groups, and compare lattice measurements performed by several independent collaborations. We show that the two sequences of (rescaled) numerical results in these two families of groups are compatible with each other. We hence perform a combined fit, and extrapolate to the common large-$N_c$ limit.

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    hep-lat 2025-09 unverdicted novelty 5.0

    Density-of-states lattice study of the first-order phase transition in Sp(4) Yang-Mills theory at finite temperature, confirming metastability and surface tension for two temporal extents toward the continuum limit.