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Casimir scaling and Yang–Mills glueballs

Deog Ki Hong, Jong-Wan Lee, Biagio Lucini Orcid Logo, Maurizio Piai Orcid Logo, Davide Vadacchino

Physics Letters B, Volume: 775, Pages: 89 - 93

Swansea University Authors: Biagio Lucini Orcid Logo, Maurizio Piai Orcid Logo

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DOI (Published version): 10.1016/j.physletb.2017.10.050

Abstract

We conjecture that in Yang-Mills theories the ratio between the ground-state glueball mass squared and the string tension is proportional to the ratio of the eigenvalues of quadratic Casimir operators in the adjoint and the fundamental representations. The proportionality constant de- pends on the d...

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Published in: Physics Letters B
Published: 2017
URI: https://cronfa.swan.ac.uk/Record/cronfa36208
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spelling 2020-06-03T13:21:53.4469840 v2 36208 2017-10-24 Casimir scaling and Yang–Mills glueballs 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 3ce295f2c7cc318bac7da18f9989d8c3 0000-0002-2251-0111 Maurizio Piai Maurizio Piai true false 2017-10-24 SMA We conjecture that in Yang-Mills theories the ratio between the ground-state glueball mass squared and the string tension is proportional to the ratio of the eigenvalues of quadratic Casimir operators in the adjoint and the fundamental representations. The proportionality constant de- pends on the dimension of the space-time only, and is henceforth universal. We argue that this universality, which is supported by available lattice results, is a direct consequence of area-law confinement. In order to explain this universal behaviour, we provide three analytical arguments, based respectively on a Bethe-Salpeter analysis, on the saturation of the scale anomaly by the lightest scalar glueball and on QCD sum rules, commenting on the underlying assumptions that they entail and on their physical implications. Journal Article Physics Letters B 775 89 93 10 12 2017 2017-12-10 10.1016/j.physletb.2017.10.050 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2020-06-03T13:21:53.4469840 2017-10-24T08:48:28.6600541 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Deog Ki Hong 1 Jong-Wan Lee 2 Biagio Lucini 0000-0001-8974-8266 3 Maurizio Piai 0000-0002-2251-0111 4 Davide Vadacchino 5 0036208-24102017084907.pdf 1705.00286.pdf 2017-10-24T08:49:07.0370000 Output 552506 application/pdf Accepted Manuscript true 2017-10-24T00:00:00.0000000 true eng 0036208-29112017110619.pdf 36208.pdf 2017-11-29T11:06:19.9770000 Output 330680 application/pdf Version of Record true 2017-11-28T00:00:00.0000000 Open Access funded by SCOAP³ - Sponsoring Consortium for Open Access Publishing in Particle Physics. Under a Creative Commons license. true eng
title Casimir scaling and Yang–Mills glueballs
spellingShingle Casimir scaling and Yang–Mills glueballs
Biagio Lucini
Maurizio Piai
title_short Casimir scaling and Yang–Mills glueballs
title_full Casimir scaling and Yang–Mills glueballs
title_fullStr Casimir scaling and Yang–Mills glueballs
title_full_unstemmed Casimir scaling and Yang–Mills glueballs
title_sort Casimir scaling and Yang–Mills glueballs
author_id_str_mv 7e6fcfe060e07a351090e2a8aba363cf
3ce295f2c7cc318bac7da18f9989d8c3
author_id_fullname_str_mv 7e6fcfe060e07a351090e2a8aba363cf_***_Biagio Lucini
3ce295f2c7cc318bac7da18f9989d8c3_***_Maurizio Piai
author Biagio Lucini
Maurizio Piai
author2 Deog Ki Hong
Jong-Wan Lee
Biagio Lucini
Maurizio Piai
Davide Vadacchino
format Journal article
container_title Physics Letters B
container_volume 775
container_start_page 89
publishDate 2017
institution Swansea University
doi_str_mv 10.1016/j.physletb.2017.10.050
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str 1
active_str 0
description We conjecture that in Yang-Mills theories the ratio between the ground-state glueball mass squared and the string tension is proportional to the ratio of the eigenvalues of quadratic Casimir operators in the adjoint and the fundamental representations. The proportionality constant de- pends on the dimension of the space-time only, and is henceforth universal. We argue that this universality, which is supported by available lattice results, is a direct consequence of area-law confinement. In order to explain this universal behaviour, we provide three analytical arguments, based respectively on a Bethe-Salpeter analysis, on the saturation of the scale anomaly by the lightest scalar glueball and on QCD sum rules, commenting on the underlying assumptions that they entail and on their physical implications.
published_date 2017-12-10T03:45:12Z
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score 11.013799

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