Chern-Simons Reduction and non-Abelian Fluid Mechanics
High Energy Physics - Theory
2014-11-18 v3 High Energy Physics - Phenomenology
Mathematical Physics
math.MP
Fluid Dynamics
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.
Keywords
Cite
@article{arxiv.hep-th/0004084,
title = {Chern-Simons Reduction and non-Abelian Fluid Mechanics},
author = {R. Jackiw and V. P. Nair and So-Young Pi},
journal= {arXiv preprint arXiv:hep-th/0004084},
year = {2014}
}
Comments
12 pages, REVTeX; revised for publication in Phys Rev D; email to [email protected]