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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

Ed Bennett , Deog Ki Hong , Jong-Wan Lee , C.-J. David Lin , Biagio Lucini , Maurizio Piai , Davide Vadacchino This is my paper · ORCID
classification hep-lat
keywords flowtheoriesgrouplatticewilsonyang-millsagreementappearing
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Meson spectroscopy in the $Sp(4)$ gauge theory with three antisymmetric fermions

    hep-lat 2024-12 conditional novelty 6.0 of 10

    Lattice simulations of Sp(4) with three antisymmetric Dirac fermions find QCD-like confinement and chiral symmetry breaking, and provide a first continuum-extrapolated meson spectrum.

  2. Progress on the spectroscopy of an Sp(4) gauge theory coupled to matter in multiple representations

    hep-lat 2024-11 conditional novelty 5.0 of 10

    Preliminary lattice spectra of mesons, flavor singlets, and chimera baryons in fully dynamical Sp(4) gauge theory with fermions in two representations are presented.

  3. Updates on the density of states method in finite temperature symplectic gauge theories

    hep-lat 2024-11 conditional novelty 4.0 of 10

    LLR simulations of Sp(4) pure gauge theory at finite temperature show that the plaquette distribution at the deconfinement critical point has a plateau between the two peaks, and the thermodynamic extrapolations of th...

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