Description
Schwinger-Keldysh effective field theory (SK-EFTs) is a framework for systematically including stochastic
thermal fluctuations into the hydrodynamic framework. In this talk, we will review some aspects of SK hydrodynamics
and how it goes past the regime of applicability of the conventional Martin-Siggia-Rose (MSR) formulation of
stochastic hydrodynamics. We will pay particular attention to the dynamical Kubo-Martin-Schwinger (KMS)
symmetry, which is responsible for implementing n-point fluctuation-dissipation theorems (FDTs) in SK-EFTs. Time
permitting, we will also discuss the extensions of these ideas to non-conserved degrees of freedom, in particular to
the Muller-Israel-Stewart model of relativistic hydrodynamics.
