TOPOLOGICAL LANDAU-GINZBURG THEORY FOR VORTICES IN SUPERFLUID HE-4

We propose a modified Landau-Ginzburg theory for arbitrarily shaped vo rtex strings in superfluid He-4. The theory contains a topological ter m and directly describes vortex dynamics. We introduce gauge fields in order to remove singularities from the Landau-Ginzburg order paramete r of the superfluid, so that two kinds of gauge symmetries appear, mak ing the continuity equation and conservation of the total vorticity ma nifest. The topological term gives rise to the Berry phase term in the vortex mechanical actions.