Scherk-Schwarz reduction of a neutral viscous conformal fluid yields a dissipative colored fluid in lower dimensions with explicit maps for equation of state, sound speed, color currents, entropy current, and first-order transport coefficients including η, τ, and κ.
Chern-Simons Reduction and non-Abelian Fluid Mechanics
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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.
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Dissipative non-Abelian fluids from Scherk-Schwarz dimensional reduction
Scherk-Schwarz reduction of a neutral viscous conformal fluid yields a dissipative colored fluid in lower dimensions with explicit maps for equation of state, sound speed, color currents, entropy current, and first-order transport coefficients including η, τ, and κ.