Geometrical and nonperturbative aspects of low dimensional field theories

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dc.contributor.advisorBarashenkov, Igoren_ZA
dc.contributor.authorMurugan, Jeffreyen_ZA
dc.date.accessioned2014-09-25T08:47:55Z
dc.date.available2014-09-25T08:47:55Z
dc.date.issued2000en_ZA
dc.descriptionBibliography: leaves 84-88en_ZA
dc.description.abstractWe 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.en_ZA
dc.identifier.apacitationMurugan, J. (2000). <i>Geometrical and nonperturbative aspects of low dimensional field theories</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/7681en_ZA
dc.identifier.chicagocitationMurugan, Jeffrey. <i>"Geometrical and nonperturbative aspects of low dimensional field theories."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2000. http://hdl.handle.net/11427/7681en_ZA
dc.identifier.citationMurugan, J. 2000. Geometrical and nonperturbative aspects of low dimensional field theories. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Murugan, Jeffrey AB - 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. DA - 2000 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 2000 T1 - Geometrical and nonperturbative aspects of low dimensional field theories TI - Geometrical and nonperturbative aspects of low dimensional field theories UR - http://hdl.handle.net/11427/7681 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/7681
dc.identifier.vancouvercitationMurugan J. Geometrical and nonperturbative aspects of low dimensional field theories. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2000 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/7681en_ZA
dc.language.isoengen_ZA
dc.publisher.departmentDepartment of Mathematics and Applied Mathematicsen_ZA
dc.publisher.facultyFaculty of Scienceen_ZA
dc.publisher.institutionUniversity of Cape Town
dc.subject.otherMathematics and Applied Mathsen_ZA
dc.titleGeometrical and nonperturbative aspects of low dimensional field theoriesen_ZA
dc.typeMaster Thesis
dc.type.qualificationlevelMasters
dc.type.qualificationnameMScen_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
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