Microscopic formula for transport coefficients of causal hydrodynamics

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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4 pages, title was modified, final version published in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.75.060103

The Green-Kubo-Nakano formula should be modified in relativistic hydrodynamics because of the problem of acausality and the breaking of sum rules. In this work, we propose a formula to calculate the transport coefficients of causal hydrodynamics based on the projection operator method. As concrete examples, we derive the expressions for the diffusion coefficient, the shear viscosity coefficient, and corresponding relaxation times.

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