Novel approaches to the study of the heavy meson spectrum at finite temperature

PAGE, BENJAMIN

doi:10.23889/SUThesis.66882

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Novel approaches to the study of the heavy meson spectrum at finite temperature / BENJAMIN PAGE

Swansea University Author: BENJAMIN PAGE

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Copyright: The Author, Benjamin T. Page, 2024 CC BY - Distributed under the terms of a Creative Commons Attribution 4.0 License (CC BY 4.0).
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DOI (Published version): 10.23889/SUThesis.66882

Abstract

This thesis is structured in three broad sections. The ﬁrst presents a brief intro-duction to the ﬁeld of quantum chromodynamics (QCD) and regularisation methods, which precedes a more thorough description of the lattice ﬁeld theoretic approach to QCD and its non-relativistic formalism, NRQCD, which...

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Published:	Swansea University, Wales, UK 2024
Institution:	Swansea University
Degree level:	Doctoral
Degree name:	Ph.D
Supervisor:	Allton, C.
URI:	https://cronfa.swan.ac.uk/Record/cronfa66882
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first_indexed	2024-06-24T11:45:47Z
last_indexed	2024-06-24T11:45:47Z
id	cronfa66882
recordtype	RisThesis
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spelling	v2 66882 2024-06-24 Novel approaches to the study of the heavy meson spectrum at finite temperature ec189be39b9a516df3229a4a19243b2d BENJAMIN PAGE BENJAMIN PAGE true false 2024-06-24 This thesis is structured in three broad sections. The ﬁrst presents a brief intro-duction to the ﬁeld of quantum chromodynamics (QCD) and regularisation methods, which precedes a more thorough description of the lattice ﬁeld theoretic approach to QCD and its non-relativistic formalism, NRQCD, which is used in the analysis contained within this document. The second section introduces the ﬁrst problem of interest, spectral reconstruction in the case of bottomonium mesons. We focus in particular on the Laplacian nature of the problem and present the Backus-Gilbert method as a means of pro-ducing regularised solutions. The resolving power of the method is discussed and the overall approach is then extended with the inclusion of a novel technique known as Laplace shifting, which takes advantage of the structure of the problem to pro-vide a controlled resolution improvement to the method. A study of this technique is presented and applied to results obtained from Fastsum’s anisotropic NRQCD ensembles from which connections with a known phenomenon in Monte-Carlo based physics called Parisi-Lepage statistical scaling are elucidated. The third and ﬁnal section focuses on probing the temperature dependence of the gluon propagator again calculated using the Fastsum Gen-2L ensembles. We begin by showing results for the propagator in the Coulomb gauge, before extending to the Landau gauge where we discuss the necessary modiﬁcations to support the lattice anisotropy. E-Thesis Swansea University, Wales, UK Physics, Theoretical Physics, Finite Temperature Physics, Lattice QCD 23 2 2024 2024-02-23 10.23889/SUThesis.66882 A selection of content is redacted or is partially redacted from this thesis to protect sensitive and personal information. COLLEGE NANME COLLEGE CODE Swansea University Allton, C. Doctoral Ph.D SURES SURES 2024-06-24T14:09:28.0697531 2024-06-24T12:31:21.2806794 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics BENJAMIN PAGE 1 66882__30735__fc09017cf16444aa9a48745d1404dd49.pdf 2024_Page_B.final.66882.pdf 2024-06-24T13:21:04.3628516 Output 7390964 application/pdf E-Thesis – open access true Copyright: The Author, Benjamin T. Page, 2024 CC BY - Distributed under the terms of a Creative Commons Attribution 4.0 License (CC BY 4.0). true eng https://creativecommons.org/licenses/by/4.0/
title	Novel approaches to the study of the heavy meson spectrum at finite temperature
spellingShingle	Novel approaches to the study of the heavy meson spectrum at finite temperature BENJAMIN PAGE
title_short	Novel approaches to the study of the heavy meson spectrum at finite temperature
title_full	Novel approaches to the study of the heavy meson spectrum at finite temperature
title_fullStr	Novel approaches to the study of the heavy meson spectrum at finite temperature
title_full_unstemmed	Novel approaches to the study of the heavy meson spectrum at finite temperature
title_sort	Novel approaches to the study of the heavy meson spectrum at finite temperature
author_id_str_mv	ec189be39b9a516df3229a4a19243b2d
author_id_fullname_str_mv	ec189be39b9a516df3229a4a19243b2d_***_BENJAMIN PAGE
author	BENJAMIN PAGE
author2	BENJAMIN PAGE
format	E-Thesis
publishDate	2024
institution	Swansea University
doi_str_mv	10.23889/SUThesis.66882
college_str	Faculty of Science and Engineering
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hierarchy_top_title	Faculty of Science and Engineering
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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
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description	This thesis is structured in three broad sections. The ﬁrst presents a brief intro-duction to the ﬁeld of quantum chromodynamics (QCD) and regularisation methods, which precedes a more thorough description of the lattice ﬁeld theoretic approach to QCD and its non-relativistic formalism, NRQCD, which is used in the analysis contained within this document. The second section introduces the ﬁrst problem of interest, spectral reconstruction in the case of bottomonium mesons. We focus in particular on the Laplacian nature of the problem and present the Backus-Gilbert method as a means of pro-ducing regularised solutions. The resolving power of the method is discussed and the overall approach is then extended with the inclusion of a novel technique known as Laplace shifting, which takes advantage of the structure of the problem to pro-vide a controlled resolution improvement to the method. A study of this technique is presented and applied to results obtained from Fastsum’s anisotropic NRQCD ensembles from which connections with a known phenomenon in Monte-Carlo based physics called Parisi-Lepage statistical scaling are elucidated. The third and ﬁnal section focuses on probing the temperature dependence of the gluon propagator again calculated using the Fastsum Gen-2L ensembles. We begin by showing results for the propagator in the Coulomb gauge, before extending to the Landau gauge where we discuss the necessary modiﬁcations to support the lattice anisotropy.
published_date	2024-02-23T14:09:26Z
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Novel approaches to the study of the heavy meson spectrum at finite temperature / BENJAMIN PAGE

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