Knot solitons in modified Ginzburg-Landau model

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

2011-02-10

arxiv.org/abs/1102.2259v3

Phys.Rev.D83:105015,2011

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.83.105015

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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