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Dualitites in quantum field theory from string theory / MOHAMMAD AKHOND

Swansea University Author: MOHAMMAD AKHOND

DOI (Published version): 10.23889/SUthesis.60296

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Quantum field theory (QFT), is a powerful framework to study diverse phenomena in physics. The range of topics includes the interactions of elementary particles, the continuum limit of condensed matter systems defined on a lattice, models of the expanding universe, as well as quantum gravity. Despit...

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Published: Swansea 2022
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
Supervisor: Armoni, Adi
URI: https://cronfa.swan.ac.uk/Record/cronfa60296
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spelling 2022-06-22T13:20:56.6628499 v2 60296 2022-06-22 Dualitites in quantum field theory from string theory 5887834848d041deace088630cff4db1 MOHAMMAD AKHOND MOHAMMAD AKHOND true false 2022-06-22 Quantum field theory (QFT), is a powerful framework to study diverse phenomena in physics. The range of topics includes the interactions of elementary particles, the continuum limit of condensed matter systems defined on a lattice, models of the expanding universe, as well as quantum gravity. Despite its enormous breadth of applications, it is still quite poorly understood. From a pragmatic point of view, a generic QFT is well understood in the per-turbative regime, where one has a small expansion parameter or coupling constant. That we have a satisfactory understanding of QFTs in the weakly coupled regime, is highlighted by the fact that we have a single formalism, namely feynman diagrams, that can be applied to any weakly coupled theory. Conversely, there is no universal framework to understand non-perturbative and strong coupling phenomena. Instead, we have a distinct set of tools, which apply to distinct sets of very special theories, such as those with supersymmetry or topolog-ical theories. From this perspective, to understand the strong coupling dynamics of a QFT, is to develop a unique formalism that can be applied to solve a generic strongly coupled QFT. The reader should be warned that this thesis will not achieve such an ambitious goal. How-ever, it is good to keep this general philosophy in mind, as a broader motivation for some of the work presented. We will provide, instead, a collection of data points for particular sec-tors of strongly coupled QFTs that are under analytic control. One can hope that some day, these data points can provide the foundations for a more systematic and universal approach. From a more formal viewpoint, quantum field theory, as of yet, has no rigorous mathemati-cal basis. This is particularly bothersome, given the deep interconnections between ideas in modern mathematics and those of QFT [1]. The goal of this thesis is to introduce its reader to a few notable examples, where the former issue can be overcome. The unifying theme of all these examples is their relation to brane dynamics in string theory [2]. We will make extensive use of the string theory embedding of the QFTs under consideration, in order to illuminate their strong coupling dynamics. E-Thesis Swansea String theory, Quantum field theory 15 6 2022 2022-06-15 10.23889/SUthesis.60296 ORCiD identifier: https://orcid.org/0000-0002-4729-0274 COLLEGE NANME COLLEGE CODE Swansea University Armoni, Adi Doctoral Ph.D STFC; Grant number: ST/S505778/1 2022-06-22T13:20:56.6628499 2022-06-22T13:00:22.3538510 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics MOHAMMAD AKHOND 1 60296__24361__8733143490fb4fc78594a851144264e6.pdf Akhond_Mohammad_R_PhD_Thesis_Final_Cronfa.pdf 2022-06-22T13:17:45.1324195 Output 914391 application/pdf E-Thesis – open access true Copyright: The author, Mohammad R. Akhond, 2022. true eng
title Dualitites in quantum field theory from string theory
spellingShingle Dualitites in quantum field theory from string theory
MOHAMMAD AKHOND
title_short Dualitites in quantum field theory from string theory
title_full Dualitites in quantum field theory from string theory
title_fullStr Dualitites in quantum field theory from string theory
title_full_unstemmed Dualitites in quantum field theory from string theory
title_sort Dualitites in quantum field theory from string theory
author_id_str_mv 5887834848d041deace088630cff4db1
author_id_fullname_str_mv 5887834848d041deace088630cff4db1_***_MOHAMMAD AKHOND
author MOHAMMAD AKHOND
author2 MOHAMMAD AKHOND
format E-Thesis
publishDate 2022
institution Swansea University
doi_str_mv 10.23889/SUthesis.60296
college_str Faculty of Science and Engineering
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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 Quantum field theory (QFT), is a powerful framework to study diverse phenomena in physics. The range of topics includes the interactions of elementary particles, the continuum limit of condensed matter systems defined on a lattice, models of the expanding universe, as well as quantum gravity. Despite its enormous breadth of applications, it is still quite poorly understood. From a pragmatic point of view, a generic QFT is well understood in the per-turbative regime, where one has a small expansion parameter or coupling constant. That we have a satisfactory understanding of QFTs in the weakly coupled regime, is highlighted by the fact that we have a single formalism, namely feynman diagrams, that can be applied to any weakly coupled theory. Conversely, there is no universal framework to understand non-perturbative and strong coupling phenomena. Instead, we have a distinct set of tools, which apply to distinct sets of very special theories, such as those with supersymmetry or topolog-ical theories. From this perspective, to understand the strong coupling dynamics of a QFT, is to develop a unique formalism that can be applied to solve a generic strongly coupled QFT. The reader should be warned that this thesis will not achieve such an ambitious goal. How-ever, it is good to keep this general philosophy in mind, as a broader motivation for some of the work presented. We will provide, instead, a collection of data points for particular sec-tors of strongly coupled QFTs that are under analytic control. One can hope that some day, these data points can provide the foundations for a more systematic and universal approach. From a more formal viewpoint, quantum field theory, as of yet, has no rigorous mathemati-cal basis. This is particularly bothersome, given the deep interconnections between ideas in modern mathematics and those of QFT [1]. The goal of this thesis is to introduce its reader to a few notable examples, where the former issue can be overcome. The unifying theme of all these examples is their relation to brane dynamics in string theory [2]. We will make extensive use of the string theory embedding of the QFTs under consideration, in order to illuminate their strong coupling dynamics.
published_date 2022-06-15T04:18:17Z
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