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arXiv · 2205.09364

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

Ed Bennett·Deog Ki Hong·Jong-Wan Lee·C. -J. David Lin·Biagio Lucini·Maurizio Piai·Davide Vadacchino
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Abstract

We study Yang-Mills lattice theories with $Sp(N_c)$ gauge group, with $N_c=2N$, for $N=1,\,\cdots,\,4$. 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 $Sp(N_c)$ theories, and extrapolate the results to the continuum limit for each $N_c$.

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Ed Bennett, Deog Ki Hong, Jong-Wan Lee, C. -J. David Lin, Biagio Lucini, Maurizio Piai, Davide Vadacchino. 2022-11-04. $Sp(2N)$ Yang-Mills theories on the lattice: scale setting and topology. https://doi.org/10.1103/physrevd.106.094503

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