Papers › Sp(2N) Yang-Mills theories on the lattice: scale setting and topology
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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We study Yang-Mills lattice theories with Sp(N_c) gauge group, with N_c=2N, for N=1, ⋯, 4. We show that if we divide the renormalised couplings appearing in the Wilson flow by the quadratic Casimir C₂(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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