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

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arxiv 2205.09364 v4 pith:2M57FG6Y submitted 2022-05-19 hep-lat

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 This is my paper
classification hep-lat
keywords flowtheoriesgrouplatticewilsonyang-millsagreementappearing
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 2 Pith papers

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  1. Lattice studies of chimera baryons in Sp(4) gauge theory

    hep-lat 2026-04 unverdicted novelty 6.0

    Lattice calculations yield the low-lying spectrum of chimera baryons in Sp(4) gauge theory, first in the quenched approximation with continuum and massless limits, then with dynamical fermions via spectral density analysis.

  2. Finite-temperature Yang-Mills theories with the density of states method: towards the continuum limit

    hep-lat 2025-09 unverdicted novelty 5.0

    Density-of-states lattice study of the first-order phase transition in Sp(4) Yang-Mills theory at finite temperature, confirming metastability and surface tension for two temporal extents toward the continuum limit.