Glueballs and strings in Sp(2N) Yang-Mills theories

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

doi:10.1103/physrevd.103.054509

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Glueballs and strings in Sp(2N) Yang-Mills theories

Ed Bennett

, Jack Holligan, Deog Ki Hong, Jong-Wan Lee, C.-J. David Lin, Biagio Lucini

, Maurizio Piai, Davide Vadacchino, Jack Holligan, Maurizio Piai

Physical Review D, Volume: 103, Issue: 5

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

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DOI (Published version): 10.1103/physrevd.103.054509

Abstract

Motivated in part by the pseudo-Nambu Goldstone Boson mechanism of electroweak symmetry breaking in Composite Higgs Models, in part by dark matter scenarios with strongly coupled origin, as well as by general theoretical considerations related to the large-N extrapolation, we perform lattice studies...

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Published in:	Physical Review D
ISSN:	2470-0010 2470-0029
Published:	American Physical Society (APS) 2021
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URI:	https://cronfa.swan.ac.uk/Record/cronfa56146
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We measure the string tension and the mass spectrum of glueballs, extracted from appropriate 2-point correlation functions of operators organised as irreducible representations of the octahedral symmetry group. We perform the continuum extrapolation and study the magnitude of finite-size effects, showing that they are negligible in our calculation. We present new numerical results for N = 1, 2, 3, 4, combine them with data previously obtained for N = 2, and extrapolate towards N ! 1. We confirm explicitly the expectation that, as already known for N = 1, 2 also for N = 3, 4 a confining potential rising linearly with the distance binds a static quark to its antiquark. We compare our results to the existing literature on other gauge groups, with particular attention devoted to the large-N limit. We find agreement with the known values of the mass of the 0++, 0++⇤ and 2++ glueballs obtained taking the large-N limit in the SU(N) groups. In addition, we determine for the first time the mass of some heavier glueball states at finite N in Sp(2N) and extrapolate the results towards N ! +1 taking the limit in the latter groups. Since the large-N limit of Sp(2N) is the same as in SU(N), our results are relevant also for the study of QCD-like theories.</abstract><type>Journal Article</type><journal>Physical Review D</journal><volume>103</volume><journalNumber>5</journalNumber><paginationStart/><paginationEnd/><publisher>American Physical Society (APS)</publisher><placeOfPublication/><isbnPrint/><isbnElectronic/><issnPrint>2470-0010</issnPrint><issnElectronic>2470-0029</issnElectronic><keywords/><publishedDay>22</publishedDay><publishedMonth>3</publishedMonth><publishedYear>2021</publishedYear><publishedDate>2021-03-22</publishedDate><doi>10.1103/physrevd.103.054509</doi><url>http://dx.doi.org/10.1103/physrevd.103.054509</url><notes/><college>COLLEGE NANME</college><department>Mathematics</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>SMA</DepartmentCode><institution>Swansea University</institution><apcterm/><lastEdited>2021-11-30T15:51:38.8786539</lastEdited><Created>2021-01-29T08:11:18.7891112</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Biosciences, Geography and Physics - Physics</level></path><authors><author><firstname>Ed</firstname><surname>Bennett</surname><orcid>0000-0002-1678-6701</orcid><order>1</order></author><author><firstname>Jack</firstname><surname>Holligan</surname><order>2</order></author><author><firstname>Deog Ki</firstname><surname>Hong</surname><order>3</order></author><author><firstname>Jong-Wan</firstname><surname>Lee</surname><order>4</order></author><author><firstname>C.-J. 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spelling	2021-11-30T15:51:38.8786539 v2 56146 2021-01-29 Glueballs and strings in Sp(2N) Yang-Mills theories e1a8e7927d2b093acdc54e74eac95e38 0000-0002-1678-6701 Ed Bennett Ed Bennett true false 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 17d69d9de05482a896c0fbe347fa6f95 Jack Holligan Jack Holligan true false 3ce295f2c7cc318bac7da18f9989d8c3 0000-0002-2251-0111 Maurizio Piai Maurizio Piai true false 2021-01-29 SMA Motivated in part by the pseudo-Nambu Goldstone Boson mechanism of electroweak symmetry breaking in Composite Higgs Models, in part by dark matter scenarios with strongly coupled origin, as well as by general theoretical considerations related to the large-N extrapolation, we perform lattice studies of the Yang-Mills theories with Sp(2N) gauge groups. We measure the string tension and the mass spectrum of glueballs, extracted from appropriate 2-point correlation functions of operators organised as irreducible representations of the octahedral symmetry group. We perform the continuum extrapolation and study the magnitude of finite-size effects, showing that they are negligible in our calculation. We present new numerical results for N = 1, 2, 3, 4, combine them with data previously obtained for N = 2, and extrapolate towards N ! 1. We confirm explicitly the expectation that, as already known for N = 1, 2 also for N = 3, 4 a confining potential rising linearly with the distance binds a static quark to its antiquark. We compare our results to the existing literature on other gauge groups, with particular attention devoted to the large-N limit. We find agreement with the known values of the mass of the 0++, 0++⇤ and 2++ glueballs obtained taking the large-N limit in the SU(N) groups. In addition, we determine for the first time the mass of some heavier glueball states at finite N in Sp(2N) and extrapolate the results towards N ! +1 taking the limit in the latter groups. Since the large-N limit of Sp(2N) is the same as in SU(N), our results are relevant also for the study of QCD-like theories. Journal Article Physical Review D 103 5 American Physical Society (APS) 2470-0010 2470-0029 22 3 2021 2021-03-22 10.1103/physrevd.103.054509 http://dx.doi.org/10.1103/physrevd.103.054509 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2021-11-30T15:51:38.8786539 2021-01-29T08:11:18.7891112 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics 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 7 Davide Vadacchino 8 Jack Holligan 9 Maurizio Piai 0000-0002-2251-0111 10 56146__19561__08e7e6983f9b4081b853f7c49f82bfcb.pdf PhysRevD.103.054509.pdf 2021-03-25T14:45:24.3926096 Output 2047426 application/pdf Version of Record true Released under the terms of the Creative Commons Attribution 4.0 International license. true eng https://creativecommons.org/licenses/by/4.0/
title	Glueballs and strings in Sp(2N) Yang-Mills theories
spellingShingle	Glueballs and strings in Sp(2N) Yang-Mills theories Ed Bennett Biagio Lucini Jack Holligan Maurizio Piai
title_short	Glueballs and strings in Sp(2N) Yang-Mills theories
title_full	Glueballs and strings in Sp(2N) Yang-Mills theories
title_fullStr	Glueballs and strings in Sp(2N) Yang-Mills theories
title_full_unstemmed	Glueballs and strings in Sp(2N) Yang-Mills theories
title_sort	Glueballs and strings in Sp(2N) Yang-Mills theories
author_id_str_mv	e1a8e7927d2b093acdc54e74eac95e38 7e6fcfe060e07a351090e2a8aba363cf 17d69d9de05482a896c0fbe347fa6f95 3ce295f2c7cc318bac7da18f9989d8c3
author_id_fullname_str_mv	e1a8e7927d2b093acdc54e74eac95e38_*_Ed Bennett 7e6fcfe060e07a351090e2a8aba363cf__Biagio Lucini 17d69d9de05482a896c0fbe347fa6f95__Jack Holligan 3ce295f2c7cc318bac7da18f9989d8c3_*_Maurizio Piai
author	Ed Bennett Biagio Lucini Jack Holligan Maurizio Piai
author2	Ed Bennett Jack Holligan Deog Ki Hong Jong-Wan Lee C.-J. David Lin Biagio Lucini Maurizio Piai Davide Vadacchino Jack Holligan Maurizio Piai
format	Journal article
container_title	Physical Review D
container_volume	103
container_issue	5
publishDate	2021
institution	Swansea University
issn	2470-0010 2470-0029
doi_str_mv	10.1103/physrevd.103.054509
publisher	American Physical Society (APS)
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
url	http://dx.doi.org/10.1103/physrevd.103.054509
document_store_str	1
active_str	0
description	Motivated in part by the pseudo-Nambu Goldstone Boson mechanism of electroweak symmetry breaking in Composite Higgs Models, in part by dark matter scenarios with strongly coupled origin, as well as by general theoretical considerations related to the large-N extrapolation, we perform lattice studies of the Yang-Mills theories with Sp(2N) gauge groups. We measure the string tension and the mass spectrum of glueballs, extracted from appropriate 2-point correlation functions of operators organised as irreducible representations of the octahedral symmetry group. We perform the continuum extrapolation and study the magnitude of finite-size effects, showing that they are negligible in our calculation. We present new numerical results for N = 1, 2, 3, 4, combine them with data previously obtained for N = 2, and extrapolate towards N ! 1. We confirm explicitly the expectation that, as already known for N = 1, 2 also for N = 3, 4 a confining potential rising linearly with the distance binds a static quark to its antiquark. We compare our results to the existing literature on other gauge groups, with particular attention devoted to the large-N limit. We find agreement with the known values of the mass of the 0++, 0++⇤ and 2++ glueballs obtained taking the large-N limit in the SU(N) groups. In addition, we determine for the first time the mass of some heavier glueball states at finite N in Sp(2N) and extrapolate the results towards N ! +1 taking the limit in the latter groups. Since the large-N limit of Sp(2N) is the same as in SU(N), our results are relevant also for the study of QCD-like theories.
published_date	2021-03-22T04:10:53Z
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score	11.037603

Glueballs and strings in Sp(2N) Yang-Mills theories

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