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A panoply of Schwinger-Keldysh transport
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We classify all possible allowed constitutive relations of relativistic fluids in a statistical mechanical limit using the Schwinger-Keldysh effective action for hydrodynamics. We find that microscopic unitarity enforces genuinely new constraints on the allowed transport coefficients that are invisible in the classical hydrodynamic description; they are not implied by the second law or the Onsager relations. We term these conditions Schwinger-Keldysh positivity and provide explicit examples of the various allowed terms.
Forward citations
Cited by 4 Pith papers
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Hydrodynamics of perfect fluids with anomalies from the fermionic path integral
The fermionic path integral in the infrared yields hydrodynamic actions for anomalous perfect fluids, including four- and five-dimensional transgression forms from anomaly inflow.
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Hydrodynamics of perfect fluids with anomalies from the fermionic path integral
The fermionic path integral in an assumed infrared fluid phase yields the three previously conjectured anomalous hydrodynamic actions, with the anomaly terms identified as transgression forms and a two-parameter gauge...
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Effective field theory for dissipative photons from higher-form symmetries
A Schwinger-Keldysh effective action built on spontaneously broken higher-form symmetry gives dissipative Maxwell equations with an entropy current for photons in insulators.
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Boulder Lectures on Thermal Dynamics and Hydrodynamic EFTs
Lectures summarizing the construction of hydrodynamic EFTs through strong-to-weak symmetry breaking, with examples from spin chains to relativistic QFTs and UV/IR constraints on transport coefficients.
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