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

@inproceedings{Bennett2022Sp2NYT, title={\$Sp(2N)\$ Yang-Mills theories on the lattice: scale setting and topology}, 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} }

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 quadratic Casimir C 2 ( F ) of the Sp ( N c ) group, then the resulting quantities display a good agreement among all values of N c considered, over a ﬁnite interval in ﬂow time. We use this scaled version of the Wilson ﬂow as a scale-setting procedure, compute the topological susceptibility of the Sp…

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