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Kubo formulas for thermodynamic transport coefficients

4 Pith papers cite this work. Polarity classification is still indexing.

4 Pith papers citing it
abstract

Uncharged relativistic fluids in 3+1 dimensions have three independent thermodynamic transport coefficients at second order in the derivative expansion. Fluids with a single global $U(1)$ current have nine, out of which seven are parity preserving. We derive the Kubo formulas for all nine thermodynamic transport coefficients in terms of equilibrium correlation functions of the energy-momentum tensor and the current. All parity-preserving coefficients can be expressed in terms of two-point functions in flat space without external sources, while the parity-violating coefficients require three-point functions. We use the Kubo formulas to compute the thermodynamic coefficients in several examples of free field theories.

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years

2026 3 2019 1

verdicts

UNVERDICTED 4

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representative citing papers

Carroll hydrodynamics with spin

hep-th · 2026-01-21 · unverdicted · novelty 6.0

Carroll hydrodynamics with spin is obtained as the c→0 limit of relativistic hydrodynamics with spin, extending the description of boost-invariant flows.

Ricci cosmology

gr-qc · 2019-07-05 · unverdicted · novelty 6.0

Ricci cosmology adds curvature-matter coupling terms to the stress-energy tensor, enabling analytic inflationary solutions in standard flat FLRW cosmology without Lambda or new scalar fields.

citing papers explorer

Showing 4 of 4 citing papers.

  • Universal analytic dependence of the stress-energy tensor at thermodynamic equilibrium in curved space-time hep-th · 2026-04-15 · unverdicted · none · ref 27

    The analytic part of the stress-energy tensor at thermodynamic equilibrium has a universal covariant form independent of specific curved spacetime geometry for the massless scalar field, argued to hold for any quantum field theory.

  • Carroll hydrodynamics with spin hep-th · 2026-01-21 · unverdicted · none · ref 59 · internal anchor

    Carroll hydrodynamics with spin is obtained as the c→0 limit of relativistic hydrodynamics with spin, extending the description of boost-invariant flows.

  • Ricci cosmology gr-qc · 2019-07-05 · unverdicted · none · ref 36 · internal anchor

    Ricci cosmology adds curvature-matter coupling terms to the stress-energy tensor, enabling analytic inflationary solutions in standard flat FLRW cosmology without Lambda or new scalar fields.

  • Tensor Decomposition for Energy-Momentum Correlation Functions hep-ph · 2026-06-09 · unverdicted · none · ref 37 · internal anchor

    Energy-momentum tensor correlator is reduced to fewer spectral functions via rotational symmetry decomposition and conservation-derived differential relations at zero and finite temperature.