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arXiv · 2004.11063

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

Ed Bennett·Jack Holligan·Deog Ki Hong·Jong-Wan Lee·C. -J. David Lin·Biagio Lucini·Maurizio Piai·Davide Vadacchino
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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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Ed Bennett, Jack Holligan, Deog Ki Hong, Jong-Wan Lee, C. -J. David Lin, Biagio Lucini, Maurizio Piai, Davide Vadacchino. 2020-07-16. Color dependence of tensor and scalar glueball masses in Yang-Mills theories. https://doi.org/10.1103/physrevd.102.011501

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