Superfluid Kubo Formulas from Partition Function

Abstract

Linear response theory relates hydrodynamic transport coefficients to equilibrium retarded correlation functions of the stress-energy tensor and global symmetry currents in terms of Kubo formulas. Some of these transport coefficients are non-dissipative and affect the fluid dynamics at equilibrium. We present an algebraic framework for deriving Kubo formulas for such thermal transport coefficients by using the equilibrium partition function. We use the framework to derive Kubo formulas for all such transport coefficients of superfluids, as well as to rederive Kubo formulas for various normal fluid systems.

41 pages, 4 appendixes

References in corpus (4)

• Gravitational Anomaly and Transport
• Relativistic Hydrodynamics with General Anomalous Charges
• Kubo Formulae for Second-Order Hydrodynamic Coefficients
• Thermodynamical second-order hydrodynamic coefficients

Cited by in corpus (6)

• Hydrodynamics, spin currents and torsion
• Kubo formulas for thermodynamic transport coefficients
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• Universal chiral conductivities for low temperature holographic superfluids
• Constitutive relations of a chiral hadronic fluid