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Canonical quantization and quantum chromodynamics in a cavity
The canonical quantization formalism is applied to the Lagrange density of chromodynamics in a general covariant gauge. The physical states are characterized by their BRS-invariance. We develop the quantum theory of the interacting fields in the Dirac picture, based on the Gell-Mann and Low Theorem...
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| Format: | Thesis |
| Language: | English |
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Department of Physics
2016
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| _version_ | 1867613213447684096 |
|---|---|
| access_status_str | Open Access |
| author | Zimak, Petr |
| author2 | Viollier, Raoul D |
| author_browse | Viollier, Raoul D Zimak, Petr |
| author_facet | Viollier, Raoul D Zimak, Petr |
| author_sort | Zimak, Petr |
| collection | Thesis |
| description | The canonical quantization formalism is applied to the Lagrange density of chromodynamics in a general covariant gauge. The physical states are characterized by their BRS-invariance. We develop the quantum theory of the interacting fields in the Dirac picture, based on the Gell-Mann and Low Theorem and the Dyson expansion of the time evolution operator. Subsequently, confinement is introduced phenomenologically by imposing, on the quark, gluon and ghost field operators, the linear boundary conditions of the M.I.T. bag model at the surface of a spherically symmetric and static cavity. Based on this formalism, we calculate, in the Feynman gauge, all non-divergent Feynman diagrams of second order in the strong coupling constant g. Explicit values of the matrix elements are given for low-lying quark and gluon cavity modes. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/22142 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:32:34.479Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2016 |
| publishDateRange | 2016 |
| publishDateSort | 2016 |
| 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:11427/22142 Canonical quantization and quantum chromodynamics in a cavity Zimak, Petr Viollier, Raoul D Physics Particle Physics The canonical quantization formalism is applied to the Lagrange density of chromodynamics in a general covariant gauge. The physical states are characterized by their BRS-invariance. We develop the quantum theory of the interacting fields in the Dirac picture, based on the Gell-Mann and Low Theorem and the Dyson expansion of the time evolution operator. Subsequently, confinement is introduced phenomenologically by imposing, on the quark, gluon and ghost field operators, the linear boundary conditions of the M.I.T. bag model at the surface of a spherically symmetric and static cavity. Based on this formalism, we calculate, in the Feynman gauge, all non-divergent Feynman diagrams of second order in the strong coupling constant g. Explicit values of the matrix elements are given for low-lying quark and gluon cavity modes. 2016-10-14T06:28:13Z 2016-10-14T06:28:13Z 1986 Doctoral Thesis Doctoral PhD http://hdl.handle.net/11427/22142 eng application/pdf Department of Physics Faculty of Science University of Cape Town |
| spellingShingle | Physics Particle Physics Zimak, Petr Canonical quantization and quantum chromodynamics in a cavity |
| thesis_degree_str | Doctoral |
| title | Canonical quantization and quantum chromodynamics in a cavity |
| title_full | Canonical quantization and quantum chromodynamics in a cavity |
| title_fullStr | Canonical quantization and quantum chromodynamics in a cavity |
| title_full_unstemmed | Canonical quantization and quantum chromodynamics in a cavity |
| title_short | Canonical quantization and quantum chromodynamics in a cavity |
| title_sort | canonical quantization and quantum chromodynamics in a cavity |
| topic | Physics Particle Physics |
| url | http://hdl.handle.net/11427/22142 |
| work_keys_str_mv | AT zimakpetr canonicalquantizationandquantumchromodynamicsinacavity |