Stabilizing textures with magnetic fields

Ward, R.S.

doi:10.1103/physrevd.66.041701

Stabilizing textures with magnetic fields

Ward, R.S.

Authors

R.S. Ward

Abstract

The best-known way of stabilizing textures is by Skyrme-like terms, but another possibility is to use gauge fields. The semilocal vortex may be viewed as an example of this, in two spatial dimensions. In three dimensions, however, the idea (in its simplest form) does not work—the link between the gauge field and the scalar field is not strong enough to prevent the texture from collapsing. Modifying the |DΦ|2 term in the Lagrangian (essentially by changing the metric on the Φ space) can strengthen this link, and lead to stability. Furthermore, there is a limit in which the gauge field is entirely determined in terms of the scalar field, and the system reduces to a pure Skyrme-like one. This is described for the gauge group U(1), in dimensions two and three. The non-Abelian version is discussed briefly, but as yet no examples of texture stabilization are known in this case.

Citation

Ward, R. (2002). Stabilizing textures with magnetic fields. Physical Review D, Particles and fields, 66(4), Article 041701(R). https://doi.org/10.1103/physrevd.66.041701

Journal Article Type	Article
Online Publication Date	Aug 9, 2002
Publication Date	Aug 9, 2002
Deposit Date	Apr 26, 2007
Publicly Available Date	Mar 15, 2011
Journal	Physical Review D, Particles and fields
Print ISSN	0556-2821
Electronic ISSN	1089-4918
Publisher	American Physical Society
Peer Reviewed	Peer Reviewed
Volume	66
Issue	4
Article Number	041701(R)
DOI	https://doi.org/10.1103/physrevd.66.041701