On Axially-Symmetric Finite-Energy Monopole Configurations

Houston, P. and O'Raifeartaigh, L. (1980) On Axially-Symmetric Finite-Energy Monopole Configurations. (Preprint)

Share :
Mastodon Twitter Facebook Email

[thumbnail of DIAS-STP-80-28.pdf] Text
DIAS-STP-80-28.pdf

Download (1MB)

Abstract

Axially symmetric finite energy monopole configurations are investigated for the gauge group SO(3) with the Higgs field in the adjoint representation. To avoid the complications due to gauge freedom gauge invariant fields are introduced and used throughout. From topological and continuity considerations it is argued that the only regular axially symmetric magnetic charge distributions permitted are isolated charges of uniform strength and alternate sign located along the axis of symmetry. In particular, if there is only one sign, the magnetic charge must be located at a single point. For a zero Higgs potential the minimal energy (first order Bogomolny) field equations take a simple form when written in terms of the gauge-invariant fields. In general, there are nine equations for nine (axially symmetric) fields, but these reduce to five equations for five fields if a further symmetry (invariance under reflexions in planes through the axis of symmetry) is imposed. Remarkably, four of the equations are the same whether the reflexion symmetry is imposed or not, and these four equations can be completely solved in terms of a master potential. From these and the remaining equations (just one in the case of mirror symmetry) the asymptotic behaviour of the functions at large distances and in the neighbourhood of the origin (location of charge) is obtained and studied in some detail.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 10 Jul 2018 14:58
Last Modified: 14 Dec 2022 15:59
URI: https://dair.dias.ie/id/eprint/912

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year