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/