252 research outputs found
On thermal fluctuations and the generating functional in relativistic hydrodynamics
We discuss a real-time generating functional for correlation functions in
dissipative relativistic hydrodynamics which takes into account thermal
fluctuations of the hydrodynamic variables. Starting from the known form of
these correlation functions in the linearized regime, we integrate to find a
generating functional which we can interpret within the CTP formalism, provided
the space-time and internal global symmetries are realized in a specific manner
in the (r,a) sectors. We then verify that this symmetry realization, when
implemented in an effective action for hydrodynamic fields in the (r,a) basis,
leads to a consistent derivative expansion for the constitutive relations at
the nonlinear level, modulo constraints associated with the existence of an
equilibrium state.Comment: 23 page
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