Clebsch (String) Parameterization of 3-Vectors and Their Actions
Fluid Dynamics
2008-11-26 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
General Physics
Abstract
We discuss some properties of the intrinsically nonlinear Clebsch decomposition of a vector field into three scalars in d=3. In particular, we note and account for the incompleteness of this parameterization when attempting to use it in variational principles involving Maxwell and Chern-Simons actions. Similarities with string decomposition of metrics and their actions are also pointed out.
Cite
@article{arxiv.physics/0006056,
title = {Clebsch (String) Parameterization of 3-Vectors and Their Actions},
author = {S. Deser and R. Jackiw and A. P. Polychronakos},
journal= {arXiv preprint arXiv:physics/0006056},
year = {2008}
}
Comments
4 pages, LaTeX; email correspondence to [email protected]