Jacobi Elliptic Monopoleantimonopole Pair Of The Su(2) Yang-Mills-Higgs Theory
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Date
2013-11
Authors
Tan, Pei Yen
Journal Title
Journal ISSN
Volume Title
Publisher
Universiti Sains Malaysia
Abstract
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.
Description
Keywords
Jacobi Elliptic Monopoleantimonopole , Yang-Mills-Higgs