Clebsch (string) decomposition in \(d=3\) field theory. (English) Zbl 0972.81198

Deser, S.; Jackiw, R.; Polychronakos, A. P.

Phys. Lett., A 279, No. 3-4, 151-153 (2001).

Summary: We study the applicability of the intrinsically nonlinear Clebsch vector field decomposition into three scalars in the description of \(d=3\) field theories. 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.

MSC:

81T99

Quantum field theory; related classical field theories

Keywords:

nonlinear vector field decomposition; variational principles; parameterization incompleteness

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