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

Preprint

14 September 1993

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9309018

Abstract

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.

Keywords

LANDAU GINZBURG THEORY
MECHANICAL ACTIONS
TOPOLOGICAL LANDAU
TOPOLOGICAL TERM
SUPERFLUID
THEORY

All Related Versions

Version 1, 1993-09-14, ArXiv
Published version: Physical Review B, 49 (22), 15870.

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