Chern-Simons Reduction and non-Abelian Fluid Mechanics
arXiv:hep-th/0004084 · doi:10.1103/PhysRevD.62.085018
Abstract
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.
12 pages, REVTeX; revised for publication in Phys Rev D; email to [email protected]
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