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https://hdl.handle.net/2440/139504
Type: | Thesis |
Title: | Quark Propagator Studies with Overlap Fermions in Lattice QCD |
Author: | Virgili, Adam |
Issue Date: | 2023 |
School/Discipline: | School of Physics, Chemistry and Earth Sciences |
Abstract: | Lattice QCD is the only first-principles approach to performing calculations in the nonperturbative regime of QCD. Within this paradigm, continuum QCD is discretised and embedded into a finite-volume lattice of Euclidean spacetime points. This process is nontrivial, particularly in the fermion sector. The overlap formalism provides an implementation of fermions on the lattice which incorporates chiral symmetry. Although this is desirable, it comes at great computational expense, restricting the use of overlap fermions to situations where their favourable properties are deemed beneficial or necessary. We make extensive use of overlap fermions in this work. We consider the Landau-gauge overlap quark propagator from dynamical gauge fields for the first time, where the overlap formalism provides a straightforward, prescribed way of extracting the mass and renormalisation functions. Furthermore, the chiral nature and sensitivity to gauge field topology of the overlap operator makes the overlap quark propagator the ideal probe to study the role of centre vortices in dynamical chiral symmetry breaking. To this end, we investigate the effect of centre-vortex modification of QCD ground-state fields on the quark propagator. In order to compute vortex-only quark propagator we perform an extensive investigation into the viability of various smoothing algorithms applied to vortex-only gauge fields, developing novel approaches necessary to satisfy the smoothness condition of the overlap Dirac operator. Given recent suggestions that chiral symmetry could be key to understanding the origin of the low-lying nature of the Roper resonance, we also systematically examine the role of chiral symmetry in the nucleon spectrum by directly comparing the Wilson clover and overlap fermion actions. |
Advisor: | Kamleh, Waseem Leinweber, Derek |
Dissertation Note: | Thesis (Ph.D.) -- University of Adelaide, School of Physics, Chemistry and Earth Sciences, 2023 |
Keywords: | quark propagator lattice QCD overlap Roper resonance centre vortices lattice chiral symmetry |
Provenance: | This electronic version is made publicly available by the University of Adelaide in accordance with its open access policy for student theses. Copyright in this thesis remains with the author. This thesis may incorporate third party material which has been used by the author pursuant to Fair Dealing exceptions. If you are the owner of any included third party copyright material you wish to be removed from this electronic version, please complete the take down form located at: http://www.adelaide.edu.au/legals |
Appears in Collections: | Research Theses |
Files in This Item:
File | Description | Size | Format | |
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Virgili2023_PhD.pdf | 11.05 MB | Adobe PDF | View/Open |
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