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Schwinger-Keldysh effective field theory for stable and causal relativistic hydrodynamics

4 Pith papers cite this work, alongside 20 external citations. Polarity classification is still indexing.

4 Pith papers citing it
20 external citations · Pith
abstract

We construct stable and causal effective field theories (EFTs) for describing statistical fluctuations in relativistic diffusion and relativistic hydrodynamics. These EFTs are fully non-linear, including couplings to background sources, and enable us to compute n-point time-ordered correlation functions including the effects of statistical fluctuations. The EFTs we construct are inspired by the Maxwell-Cattaneo model of relativistic diffusion and M\"uller-Israel-Stewart model of relativistic hydrodynamics respectively, and have been derived using both the Martin-Siggia-Rose and Schwinger-Keldysh formalisms. The EFTs non-linearly realise the dynamical Kubo-Martin-Schwinger (KMS) symmetry, which ensures that n-point correlation functions and interactions in the theory satisfy the appropriate fluctuation-dissipation theorems. Since these EFTs typically admit ultraviolet sectors that are not fixed by the low-energy infrared symmetries, we find that they simultaneously admit multiple realisations of the dynamical KMS symmetry. We also comment on certain obstructions to including statistical fluctuations in the recently-proposed stable and causal Bemfica-Disconzi-Noronha-Kovtun model of relativistic hydrodynamics.

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2026 4

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representative citing papers

Schwinger-Keldysh Path Integral for Gauge theories

hep-th · 2026-04-29 · unverdicted · novelty 7.0 · 2 refs

Constructs a manifestly diagonal-BRST-invariant Schwinger-Keldysh path integral for open non-Abelian gauge theories with arbitrary physical initial states, yielding Ward-Takahashi-Slavnov-Taylor identities and a Keldysh BRST symmetry for the Open EFT.

Cumulant dynamics in finite-memory diffusion

hep-th · 2026-06-01 · unverdicted · novelty 6.0

Finite current relaxation introduces memory effects that suppress, shift, and reshape non-monotonic cumulant behavior relative to instantaneous equilibrium and Fickian diffusion, most visibly in higher-order cumulants.

Effective Field Theories for Material Media

hep-th · 2026-07-07 · accept · novelty 4.0

Spacetime-symmetry-breaking Goldstone EFTs systematically describe bulk and localized excitations of solids, fluids, and superfluids, with new thermodynamic identifications and corrected scattering rates.

citing papers explorer

Showing 4 of 4 citing papers.

  • Schwinger-Keldysh Path Integral for Gauge theories hep-th · 2026-04-29 · unverdicted · none · ref 98 · 2 links

    Constructs a manifestly diagonal-BRST-invariant Schwinger-Keldysh path integral for open non-Abelian gauge theories with arbitrary physical initial states, yielding Ward-Takahashi-Slavnov-Taylor identities and a Keldysh BRST symmetry for the Open EFT.

  • Cumulant dynamics in finite-memory diffusion hep-th · 2026-06-01 · unverdicted · none · ref 83

    Finite current relaxation introduces memory effects that suppress, shift, and reshape non-monotonic cumulant behavior relative to instantaneous equilibrium and Fickian diffusion, most visibly in higher-order cumulants.

  • Relativistic BDNK MHD Evolution in a Boost-Invariant Medium and Its Impact on Dilepton Production nucl-th · 2026-05-03 · unverdicted · none · ref 40

    Coupled BDNK MHD evolution in boost-invariant flow enhances cooling and suppresses the low-mass dilepton spectrum via magnetic-thermal feedback.

  • Effective Field Theories for Material Media hep-th · 2026-07-07 · accept · none · ref 115 · internal anchor

    Spacetime-symmetry-breaking Goldstone EFTs systematically describe bulk and localized excitations of solids, fluids, and superfluids, with new thermodynamic identifications and corrected scattering rates.