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Geometrical and nonperturbative aspects of low dimensional field theories
Bibliography: leaves 84-88
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| Main Author: | |
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2014
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| _version_ | 1867613210857701376 |
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| access_status_str | Open Access |
| author | Murugan, Jeffrey |
| author2 | Barashenkov, Igor |
| author_browse | Barashenkov, Igor Murugan, Jeffrey |
| author_facet | Barashenkov, Igor Murugan, Jeffrey |
| author_sort | Murugan, Jeffrey |
| collection | Thesis |
| description | Bibliography: leaves 84-88 |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/7681 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:32:31.718Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2014 |
| publishDateRange | 2014 |
| publishDateSort | 2014 |
| publisher | Department of Mathematics and Applied Mathematics |
| publisherStr | Department of Mathematics and Applied Mathematics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/7681 Geometrical and nonperturbative aspects of low dimensional field theories Murugan, Jeffrey Barashenkov, Igor Mathematics and Applied Maths Bibliography: leaves 84-88 We present a collection of results on solitons in low-dimensional classical field theory. We begin by reviewing the geometrical setting of he nonlinear ơ-model and demonstrate the integrability of the theory in two-dimensions on a symmetric target manifold. After reviewing the construction of soliton solutions in the 0(3) ơ-model we consider a class of gauged nonlinear ơ-models on two-dimensional axially-symmetric target spaces. We show that, for a certain choice of self-interaction, these models are all self-dual and analyze the resulting Bogomol'nyi equations in the BPS limit using techniques from dynamical systems theory. Our analysis is then extended to topologically massive gauge fields. We conclude with a deviation into exploring links between four-dimensional self-dual Yang-Mills equations and various lower-dimensional field theories. In particular, we show that at the level of equations of motion, the Euclidean Yang-Mills equations in light-cone coordinates reduce to the two-dimensional nonlinear ơ-model. 2014-09-25T08:47:55Z 2014-09-25T08:47:55Z 2000 Master Thesis Masters MSc http://hdl.handle.net/11427/7681 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Mathematics and Applied Maths Murugan, Jeffrey Geometrical and nonperturbative aspects of low dimensional field theories |
| thesis_degree_str | Master's |
| title | Geometrical and nonperturbative aspects of low dimensional field theories |
| title_full | Geometrical and nonperturbative aspects of low dimensional field theories |
| title_fullStr | Geometrical and nonperturbative aspects of low dimensional field theories |
| title_full_unstemmed | Geometrical and nonperturbative aspects of low dimensional field theories |
| title_short | Geometrical and nonperturbative aspects of low dimensional field theories |
| title_sort | geometrical and nonperturbative aspects of low dimensional field theories |
| topic | Mathematics and Applied Maths |
| url | http://hdl.handle.net/11427/7681 |
| work_keys_str_mv | AT muruganjeffrey geometricalandnonperturbativeaspectsoflowdimensionalfieldtheories |