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...

Full description

Saved in:

Bibliographic Details
Main Author:	Tan, Pei Yen
Format:	Thesis
Language:	English
Published:	2013
Subjects:	QC1-999 Physics
Online Access:	http://eprints.usm.my/46262/1/Tan%20Pei%20Yen24.pdf
Tags:	Add Tag No Tags, Be the first to tag this record!

id	my-usm-ep.46262
record_format	uketd_dc
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

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

Similar Items