2 research outputs found
Non-Abelian Fluid Dynamics in Lagrangian Formulation
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.Comment: 14 pp., REVTeX 4; a reference added; email correspondence to
[email protected]
Generalizations of Yang-Mills Theory with Nonlinear Constitutive Equations
We generalize classical Yang-Mills theory by extending nonlinear constitutive
equations for Maxwell fields to non-Abelian gauge groups. Such theories may or
may not be Lagrangian. We obtain conditions on the constitutive equations
specifying the Lagrangian case, of which recently-discussed non-Abelian
Born-Infeld theories are particular examples. Some models in our class possess
nontrivial Galilean (c goes to infinity) limits; we determine when such limits
exist, and obtain them explicitly.Comment: Submitted to the Proceedings of the 3rd Symposium on Quantum Theory
and Symmetries (QTS3) 10-14 September 2003. Preprint 9 pages including
reference