Unwinding in Hopfion vortex bunches

Details Unwinding in Hopfion vortex bunches Unwinding in Hopfion vortex bunches

2009-04-08

arxiv.org/abs/0904.1305v3

Phys.Rev.D79:125027,2009

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, 9 figures, minor clarifications of text and corrected the final energy of the vortices section IV.B. To be published

Scientific paper

10.1103/PhysRevD.79.125027

We investigate the behaviour of parallel Faddeev-Hopf vortices under energy minimization in a system with physically relevant, but unusual boundary conditions. The homotopy classification is no longer provided by the Hopf invariant, but rather by the set of integer homotopy invariants proposed by Pontrjagin. The nature of these invariants depends on the boundary conditions. A set of tightly wound parallel vortices of the usual Hopfion structure is observed to form a bunch of intertwined vortices or unwind completely, depending on the boundary conditions.

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