English

Scale invariance and superfluid turbulence

Other Condensed Matter 2014-01-03 v2 High Energy Physics - Theory Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.1302.6317,
  title  = {Scale invariance and superfluid turbulence},
  author = {Siddhartha Sen and Koushik Ray},
  journal= {arXiv preprint arXiv:1302.6317},
  year   = {2014}
}

Comments

14 pages. LaTeX. Expanded and updated version of an earlier submission (arXiv:1105.4056). Version published in Nucl Phys B

R2 v1 2026-06-21T23:32:34.400Z