Supersymmetric Fluid Mechanics
High Energy Physics - Theory
2009-10-31 v3 Mathematical Physics
math.MP
Fluid Dynamics
Abstract
When anticommuting Grassmann variables are introduced into a fluid dynamical model with irrotational velocity and no vorticity, the velocity acquires a nonvanishing curl and the resultant vorticity is described by Gaussian potentials formed from the Grassmann variables. Upon adding a further specific interaction with the Grassmann degrees of freedom, the model becomes supersymmetric.
Cite
@article{arxiv.hep-th/0004083,
title = {Supersymmetric Fluid Mechanics},
author = {R. Jackiw and A. P. Polychronakos},
journal= {arXiv preprint arXiv:hep-th/0004083},
year = {2009}
}
Comments
12 pages, REVtex, amssym macros; publication version for Phys Rev D; email to jackiw@mitlns.mit.edu