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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 5 Pith papers

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