An Effective Theory of Superfluid Turbulence from Local Scale Invariance

TL;DR

This paper develops a locally scale invariant version of the Schroedinger field theory to effectively model superfluid turbulence in Helium IV, offering a new theoretical framework.

Contribution

It introduces a novel locally scale invariant Schroedinger field theory specifically designed to describe superfluid turbulence.

Findings

Provides an effective theoretical model for superfluid turbulence in Helium IV.

Demonstrates the applicability of local scale invariance in fluid dynamics.

Lays groundwork for further exploration of scale invariance in quantum fluids.

Abstract

We construct a three-dimensional locally scale invariant version of the free Schroedinger field theory. It is shown to provide an effective theory of superfluid turbulence in Helium IV.