# Color dependence of the topological susceptibility in Yang-Mills theories

@inproceedings{Bennett2022ColorDO, title={Color dependence of the topological susceptibility in Yang-Mills theories}, author={Ed Bennett and Deog Ki Hong and Jong-Wan Lee and C.-J. David Lin and Biagio Lucini and Maurizio Piai and Davide Vadacchino}, year={2022} }

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…

## 2 Citations

### $Sp(2N)$ Yang-Mills theories on the lattice: scale setting and topology

- Education
- 2022

We study Yang-Mills lattice theories with Sp ( N c ) gauge group, with N c = 2 N , for N = 1 , · · · , 4 . We show that if we divide the renormalised couplings appearing in the Wilson ﬂow by the…

### Fractional topological charge in $SU(N)$ gauge theories without dynamical quarks

- Physics
- 2022

In SU ( N ) gauge theories without dynamical quarks, we discuss how conﬁgurations with fractional topological charge, ∼ 1 /N , can arise in the vacuum and dominate in the conﬁning phase. They are not…

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Abstract
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