Use this URL to cite or link to this record in EThOS: http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.302468
Title: Boundary sinh-Gordon model and its supersymmetric extension
Author: Ablikim, Medina
ISNI:       0000 0001 3391 128X
Awarding Body: Durham University
Current Institution: Durham University
Date of Award: 1999
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Abstract:
Three different aspects of the sinh-Gordon model are explored in this thesis. We begin, in chapter one, with a summary of the model and the necessary background. Chapter two studies the model with two boundary conditions. Two approaches are presented to investigate the reflection factors off the boundaries and the energy of the theory. In chapter three, perturbation theory is developed to study the theory with one general boundary condition. A contribution to the quantum reflection factor is obtained and compared with the result obtained for the special boundary condition. Chapters four and five investigate the supersymmetric extension of the model in the presence of a single boundary. Firstly, the classical limits of the supersymmetric reflection matrices are checked. The exact reflection factors are studied perturbatively up to the second order of the coupling constant. Secondly, the perturbation theory and the path integral formalism are employed in the supersymmetric model to study the quantum reflection factors. We conclude with a brief sixth chapter describing the outlook for further investigations.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.302468  DOI: Not available
Keywords: BOUNDARY CONDITIONS; PERTURBATION THEORY; SUPERSYMMETRY; COUPLING CONSTANTS; SINE-GORDON EQUATION; QUANTUM FIELD THEORY Particles (Nuclear physics) Nuclear reactions Physics
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