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Color dependence of the topological susceptibility in Yang-Mills theories

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arxiv 2205.09254 v3 pith:ZASP4TMT submitted 2022-05-19 hep-lat hep-phhep-th

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-lathep-phhep-th
keywords groupssusceptibilitytheoriestopologicalyang-millsapplycollaborationscolor
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abstract

For Yang-Mills theories in four dimensions, we propose to rescale the ratio between topological susceptibility and string tension squared in a universal way, dependent only on group factors. We apply this suggestion to $SU(N_c)$ and $Sp(N_c)$ groups, and compare lattice measurements performed by several independent collaborations. We show that the two sequences of (rescaled) numerical results in these two families of groups are compatible with each other. We hence perform a combined fit, and extrapolate to the common large-$N_c$ limit.

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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. The mass of the gluino-glue bound state in large-$N$ $\mathcal{N}=1$ Supersymmetric Yang-Mills theory

    hep-lat 2024-12 conditional novelty 7.0 of 10

    A first-principles lattice calculation determines the mass of the gluino-glue bound state in N=1 supersymmetric Yang-Mills theory in the large-N limit.

  2. 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.

  3. 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.

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