Clebsch (String) Parameterization of 3-Vectors and Their Actions

Details Clebsch (String) Parameterization of 3-Vectors and Their Actions Clebsch (String) Parameterization of 3-Vectors and Their Actions

2000-06-22

arxiv.org/abs/physics/0006056v1

Phys.Lett.A279:151-153,2001

Physics

Fluid Dynamics

4 pages, LaTeX; email correspondence to jackiw@mitlns.mit.edu

Scientific paper

10.1016/S0375-9601(00)00851-3

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.

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