Topological Landau-Ginzburg Theory for Vortices in Superfluid $^4$He

Details Topological Landau-Ginzburg Theory for Vortices in Superfluid $^4$He Topological Landau-Ginzburg Theory for Vortices in Superfluid $^4$He

1993-09-14

arxiv.org/abs/cond-mat/9309018v1

Phys.Rev. B49 (1994) 15870

Physics

Condensed Matter

LATEX, 9 pages

Scientific paper

10.1103/PhysRevB.49.15870

We propose a new Landau-Ginzburg theory for arbitrarily shaped vortex strings in superfluid $^4$He. The theory contains a topological term and directly describes vortex dynamics. We introduce gauge fields in order to remove singularities from the Landau-Ginzburg order parameter of the superfluid, so that two kinds of gauge symmetries appear, making the continuity equation and conservation of the total vorticity manifest. The topological term gives rise to the Berry phase term in the vortex mechanical actions.

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