Microscopic Origin of the Shear Relaxation Time in Causal Dissipative Fluid Dynamics

Details Microscopic Origin of the Shear Relaxation Time in Causal Dissipative Fluid Dynamics Microscopic Origin of the Shear Relaxation Time in Causal Dissipative Fluid Dynamics

2011-03-12

arxiv.org/abs/1103.2476v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, to appear in the proceedings of Advances in Nuclear Physics in Our Time (2010)

Scientific paper

In this paper we show how to compute the shear relaxation time from an underlying microscopic theory. We prove that the shear relaxation time in Israel-Stewart-type theories is given by the inverse of the pole of the corresponding retarded Green's function, which is nearest to the origin in the complex energy plane. Consequently, the relaxation time in such theories is a microscopic, and not a macroscopic, i.e., fluid-dynamical time scale.

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