Knot solitons in modified Ginzburg-Landau model

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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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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