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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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DOI (Published version): 10.1103/physrevd.102.011501

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
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URI: https://cronfa.swan.ac.uk/Record/cronfa54671
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last_indexed 2020-08-19T03:19:03Z
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spelling 2020-08-18T15:25:36.5172182 v2 54671 2020-07-08 Color dependence of tensor and scalar glueball masses in Yang-Mills theories e1a8e7927d2b093acdc54e74eac95e38 0000-0002-1678-6701 Ed Bennett Ed Bennett true false 17d69d9de05482a896c0fbe347fa6f95 Jack Holligan Jack Holligan true false 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 3ce295f2c7cc318bac7da18f9989d8c3 0000-0002-2251-0111 Maurizio Piai Maurizio Piai true false 2020-07-08 SMA 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. Journal Article Physical Review D 102 1 American Physical Society (APS) 2470-0010 2470-0029 20 7 2020 2020-07-20 10.1103/physrevd.102.011501 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2020-08-18T15:25:36.5172182 2020-07-08T22:26:13.5624636 Ed Bennett 0000-0002-1678-6701 1 Jack Holligan 2 Deog Ki Hong 3 Jong-Wan Lee 4 C.-J. David Lin 5 Biagio Lucini 0000-0001-8974-8266 6 Maurizio Piai 0000-0002-2251-0111 7 Davide Vadacchino 8 54671__17742__2b28630e40464a4a95b3546148345651.pdf PhysRevD.102.011501.pdf 2020-07-20T23:30:16.8773816 Output 355639 application/pdf Version of Record true Released under the terms of a Creative Commons Attribution 4.0 International license (CC-BY). true eng https://creativecommons.org/licenses/by/4.0/
title Color dependence of tensor and scalar glueball masses in Yang-Mills theories
spellingShingle Color dependence of tensor and scalar glueball masses in Yang-Mills theories
Ed Bennett
Jack Holligan
Biagio Lucini
Maurizio Piai
title_short Color dependence of tensor and scalar glueball masses in Yang-Mills theories
title_full Color dependence of tensor and scalar glueball masses in Yang-Mills theories
title_fullStr Color dependence of tensor and scalar glueball masses in Yang-Mills theories
title_full_unstemmed Color dependence of tensor and scalar glueball masses in Yang-Mills theories
title_sort Color dependence of tensor and scalar glueball masses in Yang-Mills theories
author_id_str_mv e1a8e7927d2b093acdc54e74eac95e38
17d69d9de05482a896c0fbe347fa6f95
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3ce295f2c7cc318bac7da18f9989d8c3
author_id_fullname_str_mv e1a8e7927d2b093acdc54e74eac95e38_***_Ed Bennett
17d69d9de05482a896c0fbe347fa6f95_***_Jack Holligan
7e6fcfe060e07a351090e2a8aba363cf_***_Biagio Lucini
3ce295f2c7cc318bac7da18f9989d8c3_***_Maurizio Piai
author Ed Bennett
Jack Holligan
Biagio Lucini
Maurizio Piai
author2 Ed Bennett
Jack Holligan
Deog Ki Hong
Jong-Wan Lee
C.-J. David Lin
Biagio Lucini
Maurizio Piai
Davide Vadacchino
format Journal article
container_title Physical Review D
container_volume 102
container_issue 1
publishDate 2020
institution Swansea University
issn 2470-0010
2470-0029
doi_str_mv 10.1103/physrevd.102.011501
publisher American Physical Society (APS)
document_store_str 1
active_str 0
description 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.
published_date 2020-07-20T04:08:21Z
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score 11.037603

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