FROM FEYNMANS WAVE-FUNCTION TO THE EFFECTIVE THEORY OF VORTEX DYNAMICS

We calculate the overlap between two many-body wave functions for a su perfluid film containing a vortex at shifted positions. Comparing the results to phenomenological theories, which treat vortices as point pa rticles, we find that the results are consistent if the point-particle vortices are considered as under the action of the Magnus force and i n weak interaction with sound waves of the superfluid. We are then abl e to resolve the disagreement concerning the effective mass of vortice s, showing it is finite.