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

Ed Bennett Orcid Logo, Jack Holligan, Deog Ki Hong, Jong-Wan Lee, C.-J. David Lin, Biagio Lucini Orcid Logo, Maurizio Piai Orcid Logo, Davide Vadacchino

Physical Review D, Volume: 102, Issue: 1

Swansea University Authors: Ed Bennett Orcid Logo, Jack Holligan, Biagio Lucini Orcid Logo, Maurizio Piai Orcid Logo

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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(Nc) gauge theories for Nc = 2, 4, 6, 8. We also extrapolate the combined results towards the large-Nc limit. We compute the ratio of scalar and te...

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Published in: Physical Review D
ISSN: 2470-0010 2470-0029
Published: American Physical Society (APS) 2020
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa54671
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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(Nc) gauge theories for Nc = 2, 4, 6, 8. We also extrapolate the combined results towards the large-Nc limit. We compute the ratio of scalar and tensor masses, and observe evidence that this ratio is independent of Nc. 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.
Issue: 1