Non-Abelian Fluid Dynamics in Lagrangian Formulation
High Energy Physics - Theory
2009-11-07 v2 High Energy Physics - Phenomenology
Mathematical Physics
math.MP
Fluid Dynamics
Abstract
Non-Abelian extensions of fluid dynamics, which can have applications to the quark-gluon plasma, are given. These theories are presented in a symplectic/Lagrangian formulation and involve a fluid generalization of the Kirillov-Kostant form well known in Lie group theory. In our simplest model the fluid flows with velocity v and in presence of non-Abelian chromoelectric/magnetic E^a / B^a fields, the fluid feels a Lorentz force of the form Q_a E^a + (v / c) \times Q_a B^a, where Q_a is a space-time local non-Abelian charge satisfying a fluid Wong equation [ (D_t + v \cdot D) Q ]_a = 0 with gauge covariant derivatives.
Cite
@article{arxiv.hep-th/0210143,
title = {Non-Abelian Fluid Dynamics in Lagrangian Formulation},
author = {B. Bistrovic and R. Jackiw and H. Li and V. P. Nair and S. -Y. Pi},
journal= {arXiv preprint arXiv:hep-th/0210143},
year = {2009}
}
Comments
14 pp., REVTeX 4; a reference added; email correspondence to jackiw@lns.mit.edu