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

S. Deser·R. Jackiw·A. P. Polychronakos
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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.

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S. Deser, R. Jackiw, A. P. Polychronakos. 2000-06-22. Clebsch (String) Parameterization of 3-Vectors and Their Actions. https://doi.org/10.1016/s0375-9601(00)00851-3

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