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Non-perturbative aspects of Sp(2N) gauge theories / JACK HOLLIGAN

Swansea University Author: JACK HOLLIGAN

DOI (Published version): 10.23889/SUthesis.58291

Abstract

Yang-Mills theories based on the symplectic groups – denoted by Sp(2N) – are inter-esting for both theoretical and phenomenological reasons. Sp(2N) theories with two fundamental Dirac fermions give rise to pseudo-Nambu-Goldstone bosons which can be interpreted as a composite Higgs particle. This fra...

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Published: Swansea 2021
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
Supervisor: Lucini, Biagio ; Piai, Maurizio
URI: https://cronfa.swan.ac.uk/Record/cronfa58291
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first_indexed 2021-10-11T11:17:30Z
last_indexed 2021-10-12T03:24:29Z
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fullrecord <?xml version="1.0"?><rfc1807><datestamp>2021-10-11T12:56:53.9421650</datestamp><bib-version>v2</bib-version><id>58291</id><entry>2021-10-11</entry><title>Non-perturbative aspects of Sp(2N) gauge theories</title><swanseaauthors><author><sid>26269a3fba2d56422b0a618f840acd96</sid><firstname>JACK</firstname><surname>HOLLIGAN</surname><name>JACK HOLLIGAN</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2021-10-11</date><abstract>Yang-Mills theories based on the symplectic groups &#x2013; denoted by Sp(2N) &#x2013; are inter-esting for both theoretical and phenomenological reasons. Sp(2N) theories with two fundamental Dirac fermions give rise to pseudo-Nambu-Goldstone bosons which can be interpreted as a composite Higgs particle. This framework can describe the existing Higgs boson without the need for unnatural &#xFB01;ne-tuning. This justi&#xFB01;es a programme of wider investigations of Sp(2N) gauge theories aimed at understanding their general behaviour. In this work, we study the glueball mass spectrum for Sp(2N) Yang-Mills theories using the variational method applied to Monte-Carlo generated gauge con&#xFB01;g-urations. This is carried out both for &#xFB01;nite N and in the limit N &#x2192; &#x221E;. The results are compared to existing results for SU(N) Yang-Mills theories, again, for &#xFB01;nite- and large-N. Our glueball analysis is then used to investigate some conjectures related to the behaviour of the spectrum in Yang-Mills theories based on a generic non-Abeliangauge group G. We also &#xFB01;nd numerical evidence that Sp(2N) groups con&#xFB01;ne both for &#xFB01;nite and large N. As well as studying the glueball spectrum, we examine the quenched-meson spectrum for fermions in the fundamental, antisymmetric and sym-metric representations for N = 2 and N = 3. This study enables us to provide a &#xFB01;rst account of how the related observables vary with N. The investigations presented in this work contribute to our understanding of the non-perturbative dynamics of Sp(2N) gauge theories in connection with Higgs compositeness and, more in general, with fun-damental open problems in non-Abelian gauge theories such as con&#xFB01;nement and global symmetry breaking.</abstract><type>E-Thesis</type><journal/><volume/><journalNumber/><paginationStart/><paginationEnd/><publisher/><placeOfPublication>Swansea</placeOfPublication><isbnPrint/><isbnElectronic/><issnPrint/><issnElectronic/><keywords>Lattice, BSM, Higgs, Symplectic, Glueball, Quenched meson spectrum</keywords><publishedDay>11</publishedDay><publishedMonth>10</publishedMonth><publishedYear>2021</publishedYear><publishedDate>2021-10-11</publishedDate><doi>10.23889/SUthesis.58291</doi><url/><notes>ORCiD identifier: https://orcid.org/0000-0001-6043-0262</notes><college>COLLEGE NANME</college><CollegeCode>COLLEGE CODE</CollegeCode><institution>Swansea University</institution><supervisor>Lucini, Biagio ; Piai, Maurizio</supervisor><degreelevel>Doctoral</degreelevel><degreename>Ph.D</degreename><degreesponsorsfunders>STFC and Swansea College of Science, Grant number - ST/P00055X/1</degreesponsorsfunders><apcterm/><lastEdited>2021-10-11T12:56:53.9421650</lastEdited><Created>2021-10-11T12:14:18.8152237</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>JACK</firstname><surname>HOLLIGAN</surname><order>1</order></author></authors><documents><document><filename>58291__21136__a039b33a190949798bb7fb7d48748364.pdf</filename><originalFilename>Holligan_Jack_PhD_Thesis_Final_Redacted_Signature.pdf</originalFilename><uploaded>2021-10-11T12:22:39.5893065</uploaded><type>Output</type><contentLength>3715809</contentLength><contentType>application/pdf</contentType><version>E-Thesis &#x2013; open access</version><cronfaStatus>true</cronfaStatus><documentNotes>Copyright: The author, Jack Holligan, 2021.</documentNotes><copyrightCorrect>true</copyrightCorrect><language>eng</language></document></documents><OutputDurs/></rfc1807>
spelling 2021-10-11T12:56:53.9421650 v2 58291 2021-10-11 Non-perturbative aspects of Sp(2N) gauge theories 26269a3fba2d56422b0a618f840acd96 JACK HOLLIGAN JACK HOLLIGAN true false 2021-10-11 Yang-Mills theories based on the symplectic groups – denoted by Sp(2N) – are inter-esting for both theoretical and phenomenological reasons. Sp(2N) theories with two fundamental Dirac fermions give rise to pseudo-Nambu-Goldstone bosons which can be interpreted as a composite Higgs particle. This framework can describe the existing Higgs boson without the need for unnatural fine-tuning. This justifies a programme of wider investigations of Sp(2N) gauge theories aimed at understanding their general behaviour. In this work, we study the glueball mass spectrum for Sp(2N) Yang-Mills theories using the variational method applied to Monte-Carlo generated gauge config-urations. This is carried out both for finite N and in the limit N → ∞. The results are compared to existing results for SU(N) Yang-Mills theories, again, for finite- and large-N. Our glueball analysis is then used to investigate some conjectures related to the behaviour of the spectrum in Yang-Mills theories based on a generic non-Abeliangauge group G. We also find numerical evidence that Sp(2N) groups confine both for finite and large N. As well as studying the glueball spectrum, we examine the quenched-meson spectrum for fermions in the fundamental, antisymmetric and sym-metric representations for N = 2 and N = 3. This study enables us to provide a first account of how the related observables vary with N. The investigations presented in this work contribute to our understanding of the non-perturbative dynamics of Sp(2N) gauge theories in connection with Higgs compositeness and, more in general, with fun-damental open problems in non-Abelian gauge theories such as confinement and global symmetry breaking. E-Thesis Swansea Lattice, BSM, Higgs, Symplectic, Glueball, Quenched meson spectrum 11 10 2021 2021-10-11 10.23889/SUthesis.58291 ORCiD identifier: https://orcid.org/0000-0001-6043-0262 COLLEGE NANME COLLEGE CODE Swansea University Lucini, Biagio ; Piai, Maurizio Doctoral Ph.D STFC and Swansea College of Science, Grant number - ST/P00055X/1 2021-10-11T12:56:53.9421650 2021-10-11T12:14:18.8152237 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics JACK HOLLIGAN 1 58291__21136__a039b33a190949798bb7fb7d48748364.pdf Holligan_Jack_PhD_Thesis_Final_Redacted_Signature.pdf 2021-10-11T12:22:39.5893065 Output 3715809 application/pdf E-Thesis – open access true Copyright: The author, Jack Holligan, 2021. true eng
title Non-perturbative aspects of Sp(2N) gauge theories
spellingShingle Non-perturbative aspects of Sp(2N) gauge theories
JACK HOLLIGAN
title_short Non-perturbative aspects of Sp(2N) gauge theories
title_full Non-perturbative aspects of Sp(2N) gauge theories
title_fullStr Non-perturbative aspects of Sp(2N) gauge theories
title_full_unstemmed Non-perturbative aspects of Sp(2N) gauge theories
title_sort Non-perturbative aspects of Sp(2N) gauge theories
author_id_str_mv 26269a3fba2d56422b0a618f840acd96
author_id_fullname_str_mv 26269a3fba2d56422b0a618f840acd96_***_JACK HOLLIGAN
author JACK HOLLIGAN
author2 JACK HOLLIGAN
format E-Thesis
publishDate 2021
institution Swansea University
doi_str_mv 10.23889/SUthesis.58291
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 Yang-Mills theories based on the symplectic groups – denoted by Sp(2N) – are inter-esting for both theoretical and phenomenological reasons. Sp(2N) theories with two fundamental Dirac fermions give rise to pseudo-Nambu-Goldstone bosons which can be interpreted as a composite Higgs particle. This framework can describe the existing Higgs boson without the need for unnatural fine-tuning. This justifies a programme of wider investigations of Sp(2N) gauge theories aimed at understanding their general behaviour. In this work, we study the glueball mass spectrum for Sp(2N) Yang-Mills theories using the variational method applied to Monte-Carlo generated gauge config-urations. This is carried out both for finite N and in the limit N → ∞. The results are compared to existing results for SU(N) Yang-Mills theories, again, for finite- and large-N. Our glueball analysis is then used to investigate some conjectures related to the behaviour of the spectrum in Yang-Mills theories based on a generic non-Abeliangauge group G. We also find numerical evidence that Sp(2N) groups confine both for finite and large N. As well as studying the glueball spectrum, we examine the quenched-meson spectrum for fermions in the fundamental, antisymmetric and sym-metric representations for N = 2 and N = 3. This study enables us to provide a first account of how the related observables vary with N. The investigations presented in this work contribute to our understanding of the non-perturbative dynamics of Sp(2N) gauge theories in connection with Higgs compositeness and, more in general, with fun-damental open problems in non-Abelian gauge theories such as confinement and global symmetry breaking.
published_date 2021-10-11T04:14:42Z
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score 11.036706

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