J. Peralta-Ramos, E. Calzetta
Starting from a simple model within nonequilibrium quantum field theory, we motivate a nonlinear dissipative chromohydrodynamic formalism describing the evolution of scalar colored particles interacting with nonabelian classical gauge fields. The link between the one-particle distribution function of the kinetic description and the fluid dynamic variables is determined by extremizing the entropy production. This method does not rely on the usual gradient expansion in hydrodynamic variables, and therefore the resulting fluid equations include corrections to Navier-Stokes theory. We then linearize the chromohydrodynamic equations and compute the longitudinal dielectric function of the fluid. We find that a finite relaxation time for the shear tensor has significant influence on the dynamics of color fluctuations, resulting in a slower decay of fluctuations excited by an external gauge field. The formalism developed in this work may be useful for the study of parton energy loss phenomena in heavy ion collisions.
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http://arxiv.org/abs/1208.2715
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