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Non-Abelian Fluid Dynamics in Lagrangian Formulation

B. Bistrovic·R. Jackiw·H. Li·V. P. Nair·S. -Y. Pi
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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.

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B. Bistrovic, R. Jackiw, H. Li, V. P. Nair, S. -Y. Pi. 2002-10-16. Non-Abelian Fluid Dynamics in Lagrangian Formulation. https://doi.org/10.1103/physrevd.67.025013

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