Knot solitons in modified Ginzburg-Landau model

Details Knot solitons in modified Ginzburg-Landau model Knot solitons in modified Ginzburg-Landau model

Publishing date

2011-02-10

URL

arxiv.org/abs/1102.2259v3

Journals

Phys.Rev.D83:105015,2011

Science

Physics

Field

High Energy Physics

SubField

High Energy Physics - Theory

Additional info

version 3: published version; version 2: added a reference, clarified a couple of sentences 6 pages, 4 figures

Type

Scientific paper

Digital Object Identifier

10.1103/PhysRevD.83.105015

Abstract

We study a modified version of the Ginzburg-Landau model suggested by Ward and show that Hopfions exist in it as stable static solutions, for values of the Hopf invariant up to at least 7. We also find that their properties closely follow those of their counterparts in the Faddeev-Skyrme model. Finally, we lend support to Babaev's conjecture that longer core lengths yield more stable solitons and propose a possible mechanism for constructing Hopfions in pure Ginzburg-Landau model.

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