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Stabilizing textures with magnetic fields

Ward, R.S.

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R.S. Ward


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.


Ward, R. (2002). Stabilizing textures with magnetic fields. Physical Review D, Particles and fields, 66(4), Article 041701(R).

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)


Published Journal Article (75 Kb)

Copyright Statement
© 2002 The American Physical Society

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