Symmetry Breaking By Massive Fermions Under Sugimoto S-Duality

HARPER-GARDNER, HENRY

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Symmetry Breaking By Massive Fermions Under Sugimoto S-Duality / HENRY HARPER-GARDNER

Swansea University Author: HENRY HARPER-GARDNER

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Abstract

In this project we investigate the behaviour of strongly coupled gauge theories with massive fermion ﬁelds under the S-duality proposed by Sugimoto [1]. In the massless case described by Sugimoto we see that the highly non-trivial dynamics of the fermion ﬁelds corresponds directly to the behaviour o...

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Published:	Swansea 2023
Institution:	Swansea University
Degree level:	Master of Research
Degree name:	MSc by Research
Supervisor:	Armoni, Adi ; Thompson, Dan
URI:	https://cronfa.swan.ac.uk/Record/cronfa62700
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first_indexed	2023-02-20T17:14:25Z
last_indexed	2023-02-21T04:19:17Z
id	cronfa62700
recordtype	RisThesis
fullrecord	<?xml version="1.0"?><rfc1807><datestamp>2023-02-20T17:26:27.5505839</datestamp><bib-version>v2</bib-version><id>62700</id><entry>2023-02-20</entry><title>Symmetry Breaking By Massive Fermions Under Sugimoto S-Duality</title><swanseaauthors><author><sid>173d1f7b634f3c3448024cdb5698d796</sid><firstname>HENRY</firstname><surname>HARPER-GARDNER</surname><name>HENRY HARPER-GARDNER</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2023-02-20</date><abstract>In this project we investigate the behaviour of strongly coupled gauge theories with massive fermion ﬁelds under the S-duality proposed by Sugimoto [1]. In the massless case described by Sugimoto we see that the highly non-trivial dynamics of the fermion ﬁelds corresponds directly to the behaviour of a schematic scalar potential in the S-dual theory, which shows very clear global and gauge symmetry breaking as expected in the initial theory. We induce mass terms for the scalar and fermion ﬁelds by coupling the underlying string theory to a supergravity background and show that this preserves a subgroup of the global symmetry and lifts the vacuum degeneracy of the scalar potential in the S-dual side. Furthermore, we derive relations between the ﬂux induced fermion masses to the masses induced in the Nambu-Goldstone modes of the S-dual scalar potential in an analogous way to the GMOR relation known from QCD. In this way we demonstrate a formal relation which is consistent with present QCD theory which derives from Sugimoto’s duality, as well as providing a proof of concept for an insightful analytical tool for non-SUSY gauge theories.</abstract><type>E-Thesis</type><journal/><volume/><journalNumber/><paginationStart/><paginationEnd/><publisher/><placeOfPublication>Swansea</placeOfPublication><isbnPrint/><isbnElectronic/><issnPrint/><issnElectronic/><keywords>D-Branes, QCD, Nuclear, String Theory, Gauge Theory, GMOR, Quark Mass</keywords><publishedDay>14</publishedDay><publishedMonth>2</publishedMonth><publishedYear>2023</publishedYear><publishedDate>2023-02-14</publishedDate><doi/><url/><notes/><college>COLLEGE NANME</college><CollegeCode>COLLEGE CODE</CollegeCode><institution>Swansea University</institution><supervisor>Armoni, Adi ; Thompson, Dan</supervisor><degreelevel>Master of Research</degreelevel><degreename>MSc by Research</degreename><apcterm/><funders/><projectreference/><lastEdited>2023-02-20T17:26:27.5505839</lastEdited><Created>2023-02-20T17:12:13.2276011</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>HENRY</firstname><surname>HARPER-GARDNER</surname><order>1</order></author></authors><documents><document><filename>62700__26638__1784d774c7a34f53809bff8242b0187a.pdf</filename><originalFilename>Harper-Gardner_Henry_MSc_Research_Thesis_Final_Redacted_Signature.pdf</originalFilename><uploaded>2023-02-20T17:22:21.6257886</uploaded><type>Output</type><contentLength>965083</contentLength><contentType>application/pdf</contentType><version>E-Thesis – open access</version><cronfaStatus>true</cronfaStatus><documentNotes>Copyright: The author, Henry Harper-Gardner, 2023.</documentNotes><copyrightCorrect>true</copyrightCorrect><language>eng</language></document></documents><OutputDurs/></rfc1807>
spelling	2023-02-20T17:26:27.5505839 v2 62700 2023-02-20 Symmetry Breaking By Massive Fermions Under Sugimoto S-Duality 173d1f7b634f3c3448024cdb5698d796 HENRY HARPER-GARDNER HENRY HARPER-GARDNER true false 2023-02-20 In this project we investigate the behaviour of strongly coupled gauge theories with massive fermion ﬁelds under the S-duality proposed by Sugimoto [1]. In the massless case described by Sugimoto we see that the highly non-trivial dynamics of the fermion ﬁelds corresponds directly to the behaviour of a schematic scalar potential in the S-dual theory, which shows very clear global and gauge symmetry breaking as expected in the initial theory. We induce mass terms for the scalar and fermion ﬁelds by coupling the underlying string theory to a supergravity background and show that this preserves a subgroup of the global symmetry and lifts the vacuum degeneracy of the scalar potential in the S-dual side. Furthermore, we derive relations between the ﬂux induced fermion masses to the masses induced in the Nambu-Goldstone modes of the S-dual scalar potential in an analogous way to the GMOR relation known from QCD. In this way we demonstrate a formal relation which is consistent with present QCD theory which derives from Sugimoto’s duality, as well as providing a proof of concept for an insightful analytical tool for non-SUSY gauge theories. E-Thesis Swansea D-Branes, QCD, Nuclear, String Theory, Gauge Theory, GMOR, Quark Mass 14 2 2023 2023-02-14 COLLEGE NANME COLLEGE CODE Swansea University Armoni, Adi ; Thompson, Dan Master of Research MSc by Research 2023-02-20T17:26:27.5505839 2023-02-20T17:12:13.2276011 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics HENRY HARPER-GARDNER 1 62700__26638__1784d774c7a34f53809bff8242b0187a.pdf Harper-Gardner_Henry_MSc_Research_Thesis_Final_Redacted_Signature.pdf 2023-02-20T17:22:21.6257886 Output 965083 application/pdf E-Thesis – open access true Copyright: The author, Henry Harper-Gardner, 2023. true eng
title	Symmetry Breaking By Massive Fermions Under Sugimoto S-Duality
spellingShingle	Symmetry Breaking By Massive Fermions Under Sugimoto S-Duality HENRY HARPER-GARDNER
title_short	Symmetry Breaking By Massive Fermions Under Sugimoto S-Duality
title_full	Symmetry Breaking By Massive Fermions Under Sugimoto S-Duality
title_fullStr	Symmetry Breaking By Massive Fermions Under Sugimoto S-Duality
title_full_unstemmed	Symmetry Breaking By Massive Fermions Under Sugimoto S-Duality
title_sort	Symmetry Breaking By Massive Fermions Under Sugimoto S-Duality
author_id_str_mv	173d1f7b634f3c3448024cdb5698d796
author_id_fullname_str_mv	173d1f7b634f3c3448024cdb5698d796_***_HENRY HARPER-GARDNER
author	HENRY HARPER-GARDNER
author2	HENRY HARPER-GARDNER
format	E-Thesis
publishDate	2023
institution	Swansea University
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	In this project we investigate the behaviour of strongly coupled gauge theories with massive fermion ﬁelds under the S-duality proposed by Sugimoto [1]. In the massless case described by Sugimoto we see that the highly non-trivial dynamics of the fermion ﬁelds corresponds directly to the behaviour of a schematic scalar potential in the S-dual theory, which shows very clear global and gauge symmetry breaking as expected in the initial theory. We induce mass terms for the scalar and fermion ﬁelds by coupling the underlying string theory to a supergravity background and show that this preserves a subgroup of the global symmetry and lifts the vacuum degeneracy of the scalar potential in the S-dual side. Furthermore, we derive relations between the ﬂux induced fermion masses to the masses induced in the Nambu-Goldstone modes of the S-dual scalar potential in an analogous way to the GMOR relation known from QCD. In this way we demonstrate a formal relation which is consistent with present QCD theory which derives from Sugimoto’s duality, as well as providing a proof of concept for an insightful analytical tool for non-SUSY gauge theories.
published_date	2023-02-14T04:22:32Z
_version_	1763754484273512448
score	11.014067

Symmetry Breaking By Massive Fermions Under Sugimoto S-Duality / HENRY HARPER-GARDNER

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