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Thermodynamic equilibrium as a symmetry of the Schwinger-Keldysh action

Thermodynamic equilibrium as a symmetry of the Schwinger-Keldysh action

Extended quantum systems can be theoretically described in terms of the Schwinger-Keldysh functional integral formalism, whose action conveniently describes both dynamical and static properties. We show here that in thermal equilibrium, defined by the validity of fluctuation-dissipation relations, the action of a quantum system is invariant under a certain symmetry …