Chern-Simons Reduction and non-Abelian Fluid Mechanics

Details Chern-Simons Reduction and non-Abelian Fluid Mechanics Chern-Simons Reduction and non-Abelian Fluid Mechanics

2000-04-11

arxiv.org/abs/hep-th/0004084v3

Phys.Rev. D62 (2000) 085018

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, REVTeX; revised for publication in Phys Rev D; email to jackiw@mitlns.mit.edu

Scientific paper

10.1103/PhysRevD.62.085018

We propose a non-Abelian generalization of the Clebsch parameterization for a vector in three dimensions. The construction is based on a group-theoretical reduction of the Chern-Simons form on a symmetric space. The formalism is then used to give a canonical (symplectic) discussion of non-Abelian fluid mechanics, analogous to the way the Abelian Clebsch parameterization allows a canonical description of conventional fluid mechanics.

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