Topological sigma models & dissipative hydrodynamics

Abstract

We outline a universal Schwinger-Keldysh effective theory which describes macroscopic thermal fluctuations of a relativistic field theory. The basic ingredients of our construction are three: a doubling of degrees of freedom, an emergent abelian symmetry associated with entropy, and a topological (BRST) supersymmetry imposing fluctuation-dissipation theorem. We illustrate these ideas for a non-linear viscous fluid, and demonstrate that the resulting effective action obeys a generalized fluctuation-dissipation theorem, which guarantees a local form of the second law.

22 pages. v2: added clarifications, fixed typos. v3: reference oversight fixed

References in corpus (9)

• Nonlinear Fluid Dynamics from Gravity
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Gravity & Hydrodynamics: Lectures on the fluid-gravity correspondence
• Entropy Current in Conformal Hydrodynamics
• Deconstructing holographic liquids
• The Fluid Manifesto: Emergent symmetries, hydrodynamics, and black holes
• Towards an effective action for relativistic dissipative hydrodynamics
• The eightfold way to dissipation
• Entropy Current from Partition Function: One Example

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