Chern-Simons Reduction and non-Abelian Fluid Mechanics
Jackiw, R. ; Nair, V. P. ; Pi, So-Young
arXiv, 0004084 / Harvested from arXiv
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.
Publié le : 2000-04-11
Classification:  High Energy Physics - Theory,  High Energy Physics - Phenomenology,  Mathematical Physics,  Physics - Fluid Dynamics
@article{0004084,
     author = {Jackiw, R. and Nair, V. P. and Pi, So-Young},
     title = {Chern-Simons Reduction and non-Abelian Fluid Mechanics},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0004084}
}
Jackiw, R.; Nair, V. P.; Pi, So-Young. Chern-Simons Reduction and non-Abelian Fluid Mechanics. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0004084/