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A quantum field theory for the interaction of pions and rhos
We extend the Kroll-Lee-Zumino model in its particle content to include the charged rho vector mesons and the neutral pion meson. This entailed using the larger SU(2) gauge group. The masses for the vector mesons were generated via spontaneous symmetry breaking using the Higgs mechanism. The Lagrang...
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| Format: | Thesis |
| Language: | English |
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Department of Physics
2017
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| _version_ | 1867613221555273728 |
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| access_status_str | Open Access |
| author | Moodley, Preshin |
| author2 | Dominguez, Cesareo A |
| author_browse | Dominguez, Cesareo A Moodley, Preshin |
| author_facet | Dominguez, Cesareo A Moodley, Preshin |
| author_sort | Moodley, Preshin |
| collection | Thesis |
| description | We extend the Kroll-Lee-Zumino model in its particle content to include the charged rho vector mesons and the neutral pion meson. This entailed using the larger SU(2) gauge group. The masses for the vector mesons were generated via spontaneous symmetry breaking using the Higgs mechanism. The Lagrangian was then quantized and gauge fixed using the generalized class of Rɛ gauges. Tree scattering lengths were calculated for pion-pion scattering and the values for the a₀⁰ and a₀² scattering lengths are found to be comparable with experiment. The one particle irreducible diagrams that contribute to the one loop corrections to the tree scattering lengths are renormalized. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/25433 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:32:41.376Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2017 |
| publishDateRange | 2017 |
| publishDateSort | 2017 |
| publisher | Department of Physics |
| publisherStr | Department of Physics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/25433 A quantum field theory for the interaction of pions and rhos Moodley, Preshin Dominguez, Cesareo A Schilcher, Karl Tupper, Gary Spiesberger, Hubert Physics Theoretical Physics We extend the Kroll-Lee-Zumino model in its particle content to include the charged rho vector mesons and the neutral pion meson. This entailed using the larger SU(2) gauge group. The masses for the vector mesons were generated via spontaneous symmetry breaking using the Higgs mechanism. The Lagrangian was then quantized and gauge fixed using the generalized class of Rɛ gauges. Tree scattering lengths were calculated for pion-pion scattering and the values for the a₀⁰ and a₀² scattering lengths are found to be comparable with experiment. The one particle irreducible diagrams that contribute to the one loop corrections to the tree scattering lengths are renormalized. 2017-09-26T15:07:41Z 2017-09-26T15:07:41Z 2017 Doctoral Thesis Doctoral PhD http://hdl.handle.net/11427/25433 eng application/pdf Department of Physics Faculty of Science University of Cape Town |
| spellingShingle | Physics Theoretical Physics Moodley, Preshin A quantum field theory for the interaction of pions and rhos |
| thesis_degree_str | Doctoral |
| title | A quantum field theory for the interaction of pions and rhos |
| title_full | A quantum field theory for the interaction of pions and rhos |
| title_fullStr | A quantum field theory for the interaction of pions and rhos |
| title_full_unstemmed | A quantum field theory for the interaction of pions and rhos |
| title_short | A quantum field theory for the interaction of pions and rhos |
| title_sort | quantum field theory for the interaction of pions and rhos |
| topic | Physics Theoretical Physics |
| url | http://hdl.handle.net/11427/25433 |
| work_keys_str_mv | AT moodleypreshin aquantumfieldtheoryfortheinteractionofpionsandrhos AT moodleypreshin quantumfieldtheoryfortheinteractionofpionsandrhos |