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Constraints on Fluid Dynamics from Equilibrium Partition Functions

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

3 Pith papers citing it
abstract

We study the thermal partition function of quantum field theories on arbitrary stationary background spacetime, and with arbitrary stationary background gauge fields, in the long wavelength expansion. We demonstrate that the equations of relativistic hydrodynamics are significantly constrained by the requirement of consistency with any partition function. In examples at low orders in the derivative expansion we demonstrate that these constraints coincide precisely with the equalities between hydrodynamical transport coefficients that follow from the local form of the second law of thermodynamics. In particular we recover the results of Son and Surowka on the chiral magnetic and chiral vorticity flows, starting from a local partition function that manifestly reproduces the field theory anomaly, without making any reference to an entropy current. We conjecture that the relations between transport coefficients that follow from the second law of thermodynamics agree to all orders in the derivative expansion with the constraints described in this paper.

fields

hep-th 3

years

2026 3

verdicts

UNVERDICTED 3

representative citing papers

CFTs on Squashed Spheres and the Thermal Effective Action

hep-th · 2026-06-29 · unverdicted · novelty 7.0

Derives universal quadratic response of 3D CFT free energy to S^3 squashing proportional to c_T and constructs thermal effective action for high-T Seifert manifolds with explicit Wilson coefficients.

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.

citing papers explorer

Showing 3 of 3 citing papers.

  • CFTs on Squashed Spheres and the Thermal Effective Action hep-th · 2026-06-29 · unverdicted · none · ref 11 · internal anchor

    Derives universal quadratic response of 3D CFT free energy to S^3 squashing proportional to c_T and constructs thermal effective action for high-T Seifert manifolds with explicit Wilson coefficients.

  • Resource-Theoretic Quantifiers of Weak and Strong Symmetry Breaking: Strong Entanglement Asymmetry and Beyond hep-th · 2026-01-28 · unverdicted · none · ref 76 · internal anchor

    A resource theory for strong symmetry breaking is formulated, with the variance of the conserved quantity characterizing its asymptotic manipulation for U(1) symmetry and enabling tracking of weak-to-strong conversion in open systems.

  • Carroll hydrodynamics with spin hep-th · 2026-01-21 · unverdicted · none · ref 56 · 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.