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Color dependence of tensor and scalar glueball masses in Yang-Mills theories

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arxiv 2004.11063 v2 pith:UWU3DD3W submitted 2020-04-23 hep-lat hep-phhep-th

Ed Bennett , Jack Holligan , 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 ratiomassestheoriesglueballlatticeresultsscalartensor
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We report the masses of the lightest spin-0 and spin-2 glueballs obtained in an extensive lattice study of the continuum and infinite volume limits of $Sp(N_c)$ gauge theories for $N_c=2,4,6,8$. We also extrapolate the combined results towards the large-$N_c$ limit. We compute the ratio of scalar and tensor masses, and observe evidence that this ratio is independent of $N_{c}$. Other lattice studies of Yang-Mills theories at the same space-time dimension provide a compatible ratio. We further compare these results to various analytical ones and discuss them in view of symmetry-based arguments related to the breaking of scale invariance in the underlying dynamics, showing that a constant ratio might emerge in a scenario in which the $0^{++}$ glueball is interpreted as a dilaton state.

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Cited by 3 Pith papers

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  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.

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    For pure SU(N) Yang-Mills dark sectors, confinement transitions produce gravitational waves too weak for LISA, ET, CE, DECIGO or BBO, with peak amplitude at N≈20 and a large-N decay h²Ω_peak ∝ N^{-14/3}.

  3. 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.

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