The Study Of The Soliton Solutions In (2+1) Yang-Mills-Higgs Field Theory

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dc.contributor.authorKoh, Poh Wai
dc.date.accessioned2018-07-20T02:18:02Z
dc.date.available2018-07-20T02:18:02Z
dc.date.issued2012-03
dc.description.abstractThe purpose of this thesis is to study the solitonic solutions in (2+1) dimensions of the Yang-Mills-Higgs eld theories. Soliton is de ned as solitary, traveling wave pulse solution of nonlinear ordinary di erential equations (ODEs) or partial di erential equations (PDEs). In order to nd the soliton, we must solve the di erential equations either analytically or numerically. In this thesis, the soliton solutions such as vortex, monopole-instanton are studied in the context of U(1) Abelian gauge theory and the non-Abelian SU(2) Yang-Mills-Higgs eld theory which is also known as the SU(2) Georgi-Glashow model. The aim is to gain information on the existence and properties of these topological solitons, their structure and behaviour by studying the classical eld equations. The theory of Cho's Abelian decomposition is introduced to study and nd the exact solution of the monopoles. We are able to obtain the monopole solutions by switching on the restricted part of the decomposition, when the valence part is switched o . The monopole solutions possess free parameters that can represent di erent types of monopole solutions, such as, Wu-Yang monopole, t' Hooft- Polyakov monopole and half monopole solutions. We also investigate the properties of the non-Abelian vortex solutions with the Chern-Simon term. We generate the numerical solutions from a set of nonlinear di erential equations which is also known as the equations of motion of the vortex. Finally, we study the monopole-instanton solution in topologically massive gauge theory in (2 + 1) dimensions with a Chern-Simons mass term that have been studied by Pisarski many years ago. We obtained numerical regular solutions that smoothly interpolates between the behavior at small and large distances for various values of the Chern-Simons term strength and also Higgs eld strength.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/5983
dc.language.isoenen_US
dc.publisherUniversiti Sains Malaysiaen_US
dc.subjectThe solitonic solutions in (2+1) dimensionsen_US
dc.subjectof the Yang-Mills-Higgs eld theoriesen_US
dc.titleThe Study Of The Soliton Solutions In (2+1) Yang-Mills-Higgs Field Theoryen_US
dc.typeThesisen_US
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