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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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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 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.
Item Description: A selection of content is redacted or is partially redacted from this thesis to protect sensitive and personal information.
Keywords: Lattice field theory, domain wall, overlap, Thirring model, strongly coupled
College: Faculty of Science and Engineering
Funders: EPSRC doctoral training grant

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