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arXiv · 2205.09254

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
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Abstract

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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Ed Bennett, Deog Ki Hong, Jong-Wan Lee, C. -J. David Lin, Biagio Lucini, Maurizio Piai, Davide Vadacchino. 2022-10-14. Color dependence of the topological susceptibility in Yang-Mills theories. https://doi.org/10.1016/j.physletb.2022.137504

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