Poisson reduction and the Hamiltonian structure of the Euler-Yang-Mills equations

The problem treated here is to find the Hamiltonian structure for an ideal gauge-charged fluid. Using a Kaluza-Klein point of view, we obtain the non-canonical Poisson bracket and the motion equations by a Poisson reduction involving the automorphism group of a principal bundle.


Published in:
Poisson Geometry In Mathematics And Physics, 450, 113-126
Presented at:
5th International Conference on Poisson Geomentry in Mathematics and Physics, Tokyo, JAPAN, Jun 05-09, 2006
Year:
2008
Publisher:
American Mathematical Society, P.O. Box 6248 Ms. Phoebe Murdock, Providence, Ri 02940 Usa
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 Record created 2010-11-30, last modified 2018-01-28

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