Phys. Rev. D 62, 085018 (2000) [7 pages]Chern-Simons reduction and non-Abelian fluid mechanicsReceived 12 April 2000; published 27 September 2000 We propose a non-Abelian generalization of the Clebsch parametrization 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 parametrization allows a canonical description of conventional fluid mechanics. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.62.085018
DOI:
10.1103/PhysRevD.62.085018
PACS:
03.50.Kk, 11.10.Ef, 47.10.+g, 47.75.+f
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