An Effective Theory of Superfluid Turbulence from Local Scale Invariance

Abstract

An effective locally scale invariant model is constructed using Weyl?s method starting from a free Schroedinger equation. The model requires additional gauge and gravitational degrees of freedom. It is suggested that this scale invariant model is an effective theory for superfluid turbulence. The additional degrees of freedom introduced can then be identified with filament excitations or zeros of a Gross-Pitaevski equation which are used to describe superfluid turbu- lence. Qualitative estimates of the way filaments separate after collision are made which agree with observations.