Jacobi Elliptic Monopoleantimonopole Pair Of The Su(2) Yang-Mills-Higgs Theory

Magnetic monopoles and multimonopole are well known three dimensional topological soliton solutions of the non-Abelian SU(2) Georgi-Glashow model. They are remnants of the spontaneous symmetry breaking of the gauge group SU(2) into the group U(1) with net magnetic charge. In this thesis, the SU(2) G...

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Main Author: Tan, Pei Yen
Format: Thesis
Language:English
Published: 2013
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Online Access:http://eprints.usm.my/46262/1/Tan%20Pei%20Yen24.pdf
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spelling my-usm-ep.462622020-02-19T03:59:37Z Jacobi Elliptic Monopoleantimonopole Pair Of The Su(2) Yang-Mills-Higgs Theory 2013-11 Tan, Pei Yen QC1-999 Physics Magnetic monopoles and multimonopole are well known three dimensional topological soliton solutions of the non-Abelian SU(2) Georgi-Glashow model. They are remnants of the spontaneous symmetry breaking of the gauge group SU(2) into the group U(1) with net magnetic charge. In this thesis, the SU(2) Georgi-Glashow model or synonymously SU(2) Yang- Mills-Higgs theory is studied to seek for more magnetic monopole configurations along with their properties at the classical level. To find such configurations in the model, one need to substitute a suitable ansatz into the second order equations of motions and look for an analytical or numerical solutions. The axially symmetric Jacobi elliptic one-monopole (Teh et al. 2010) configurations were obtained by generalizing the large distance asymptotic solutions to the Jacobi elliptic functions and solving the second order field equations numerically. We study them numerically by varying its magnetic number and analyze its properties when the Higgs potential is non-vanishing. These are non-BPS, regular solutions which possess the same total energy as the generalized ’t Hooft-Polyakov monopole. Some of these monopoles are distorted and possess magnetic dipole moment. 2013-11 Thesis http://eprints.usm.my/46262/ http://eprints.usm.my/46262/1/Tan%20Pei%20Yen24.pdf application/pdf en public masters Universiti Sains Malaysia Pusat Pengajian Sains Fizik
institution Universiti Sains Malaysia
collection USM Institutional Repository
language English
topic QC1-999 Physics
spellingShingle QC1-999 Physics
Tan, Pei Yen
Jacobi Elliptic Monopoleantimonopole Pair Of The Su(2) Yang-Mills-Higgs Theory
description Magnetic monopoles and multimonopole are well known three dimensional topological soliton solutions of the non-Abelian SU(2) Georgi-Glashow model. They are remnants of the spontaneous symmetry breaking of the gauge group SU(2) into the group U(1) with net magnetic charge. In this thesis, the SU(2) Georgi-Glashow model or synonymously SU(2) Yang- Mills-Higgs theory is studied to seek for more magnetic monopole configurations along with their properties at the classical level. To find such configurations in the model, one need to substitute a suitable ansatz into the second order equations of motions and look for an analytical or numerical solutions. The axially symmetric Jacobi elliptic one-monopole (Teh et al. 2010) configurations were obtained by generalizing the large distance asymptotic solutions to the Jacobi elliptic functions and solving the second order field equations numerically. We study them numerically by varying its magnetic number and analyze its properties when the Higgs potential is non-vanishing. These are non-BPS, regular solutions which possess the same total energy as the generalized ’t Hooft-Polyakov monopole. Some of these monopoles are distorted and possess magnetic dipole moment.
format Thesis
qualification_level Master's degree
author Tan, Pei Yen
author_facet Tan, Pei Yen
author_sort Tan, Pei Yen
title Jacobi Elliptic Monopoleantimonopole Pair Of The Su(2) Yang-Mills-Higgs Theory
title_short Jacobi Elliptic Monopoleantimonopole Pair Of The Su(2) Yang-Mills-Higgs Theory
title_full Jacobi Elliptic Monopoleantimonopole Pair Of The Su(2) Yang-Mills-Higgs Theory
title_fullStr Jacobi Elliptic Monopoleantimonopole Pair Of The Su(2) Yang-Mills-Higgs Theory
title_full_unstemmed Jacobi Elliptic Monopoleantimonopole Pair Of The Su(2) Yang-Mills-Higgs Theory
title_sort jacobi elliptic monopoleantimonopole pair of the su(2) yang-mills-higgs theory
granting_institution Universiti Sains Malaysia
granting_department Pusat Pengajian Sains Fizik
publishDate 2013
url http://eprints.usm.my/46262/1/Tan%20Pei%20Yen24.pdf
_version_ 1747821639482998784