Monopole-Antimonopole Pair, Vortex Dyons Of The SU(2) Yang-Mills-Higgs Field Theory
| dc.contributor.author | Lim, Kok Geng | |
| dc.date.accessioned | 2018-08-29T02:09:01Z | |
| dc.date.available | 2018-08-29T02:09:01Z | |
| dc.date.issued | 2011-01 | |
| dc.description.abstract | Magnetic monopoles and dyons are topological soliton solutions in three space dimensions, which arise in Yang-Mills-Higgs gauge theory where the non-Abelian gauge group SU(2) is spontaneously broken by the Higgs eld to a residual symmetry group U(1). While the magnetic charge is quantized due to topological arguments, the electric charge is not. In this thesis, the magnetic monopoles and dyons are studied in the context of the 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. Generically, an appropriate ansatz is pivotal in solving the second order equations of motion which are a set of nonlinear partial di erential equations. Then the next step is either solving them analytically or numerically. The early literature review on magnetic monopoles and dyons are described in this thesis. By applying a proper gauge transformation, we found that the magnetic charge of the monopole can be transferred from the Higgs eld to the gauge eld and vice versa. The results show that the string singularity from the Abelian gauge can be removed by varying the parameter from the regulated polar angle (Boulware et al., 1976) after gauge transformation. We also study the one half topological charge monopole solutions. These solutions do not necessarily satisfy the rst order Bogomol'nyi equations and they possess in nite energy density at the origin. Our results show that these half-monopoles are actually a half Wu-Yang type monopole and they can possess electric charge and become half-dyons. | en_US |
| dc.identifier.uri | http://hdl.handle.net/123456789/6452 | |
| dc.publisher | Universiti Sains Malaysia | en_US |
| dc.subject | The magnetic monopoles and dyons | en_US |
| dc.subject | the SU(2) Yang-Mills-Higgs eld theory | en_US |
| dc.title | Monopole-Antimonopole Pair, Vortex Dyons Of The SU(2) Yang-Mills-Higgs Field Theory | en_US |
| dc.type | Thesis | en_US |
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