Scale invariance and superfluid turbulence
arXiv:1302.6317 · doi:10.1016/j.nuclphysb.2013.08.022
Abstract
We construct a Schroedinger field theory invariant under local spatial scaling. It is shown to provide an effective theory of superfluid turbulence by deriving, analytically, the observed Kolmogorov 5/3 law and to lead to a Biot-Savart interaction between the observed filament excitations of the system as well.
14 pages. LaTeX. Expanded and updated version of an earlier submission (arXiv:1105.4056). Version published in Nucl Phys B