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Criticality of the Thirring Model in 2+1D / JUDE WORTHY

Swansea University Author: JUDE WORTHY

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DOI (Published version): 10.23889/SUthesis.66235

Abstract

The 2+1d Thirring model provides a good laboratory to explore criticality in a strongly coupled region. We investigate the utility of Ginsparg-Wilson relation obeying Dirac operators, namely overlap operators and domain wall operators for this enterprise and seek to improve them. These operators rec...

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Published: Swansea University, Wales, UK 2024
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
Supervisor: Hands, S.
URI: https://cronfa.swan.ac.uk/Record/cronfa66235
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first_indexed 2024-05-02T11:59:50Z
last_indexed 2024-05-02T11:59:50Z
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spelling v2 66235 2024-05-02 Criticality of the Thirring Model in 2+1D d8b3694555ff57d5e41d151dc94d83e4 JUDE WORTHY JUDE WORTHY true false 2024-05-02 The 2+1d Thirring model provides a good laboratory to explore criticality in a strongly coupled region. We investigate the utility of Ginsparg-Wilson relation obeying Dirac operators, namely overlap operators and domain wall operators for this enterprise and seek to improve them. These operators recover global U(2) symmetry in the continuum limit as required by any theory with chiral symmetry. We do this via calculation of the bilinear condensate and the evaluation of an equation of state around a phase transition. However, numerical calculations using QFTs may be computationally very expensive, especially around phase transitions. In the past often only quenched calculations havebeen possible. As available computing power has increased however, dynamic calculations have become increasingly feasible. In this work we carry out both quenched and dynamic simulations. We look to find critical exponents via the equation of state characterizing the behaviour of the condensate in the continuum limit, and in the process find improvements in the evaluation of the measurements. E-Thesis Swansea University, Wales, UK Lattice field theory, domain wall, overlap, Thirring model, strongly coupled 4 2 2024 2024-02-04 10.23889/SUthesis.66235 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 Hands, S. Doctoral Ph.D EPSRC doctoral training grant EPSRC doctoral training grant 2024-05-02T17:48:45.1730946 2024-05-02T12:35:33.0388290 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics JUDE WORTHY 1 66235__30230__4cce0a0cd5dc4dfb8facc670e4d26877.pdf 2024_Worthy_J.final.66235.pdf 2024-05-02T12:58:03.4368340 Output 11717110 application/pdf E-Thesis – open access true 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 Criticality of the Thirring Model in 2+1D
spellingShingle Criticality of the Thirring Model in 2+1D
JUDE WORTHY
title_short Criticality of the Thirring Model in 2+1D
title_full Criticality of the Thirring Model in 2+1D
title_fullStr Criticality of the Thirring Model in 2+1D
title_full_unstemmed Criticality of the Thirring Model in 2+1D
title_sort Criticality of the Thirring Model in 2+1D
author_id_str_mv d8b3694555ff57d5e41d151dc94d83e4
author_id_fullname_str_mv d8b3694555ff57d5e41d151dc94d83e4_***_JUDE WORTHY
author JUDE WORTHY
author2 JUDE WORTHY
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publishDate 2024
institution Swansea University
doi_str_mv 10.23889/SUthesis.66235
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
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description The 2+1d Thirring model provides a good laboratory to explore criticality in a strongly coupled region. We investigate the utility of Ginsparg-Wilson relation obeying Dirac operators, namely overlap operators and domain wall operators for this enterprise and seek to improve them. These operators recover global U(2) symmetry in the continuum limit as required by any theory with chiral symmetry. We do this via calculation of the bilinear condensate and the evaluation of an equation of state around a phase transition. However, numerical calculations using QFTs may be computationally very expensive, especially around phase transitions. In the past often only quenched calculations havebeen possible. As available computing power has increased however, dynamic calculations have become increasingly feasible. In this work we carry out both quenched and dynamic simulations. We look to find critical exponents via the equation of state characterizing the behaviour of the condensate in the continuum limit, and in the process find improvements in the evaluation of the measurements.
published_date 2024-02-04T17:48:44Z
_version_ 1797960262690537472
score 11.012678

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