Effective field theory of dissipative fluids
By M. Crossley, Paolo Glorioso, Hong Liu. 2015
269 citations recorded by the source corpus.
A bstractWe develop an effective field theory for dissipative fluids which governs the dynamics of long-lived gapless modes associated with conserved quantities. The resulting theory gives a path integral formulation of fluctuating hydrodynamics which systematically incorporates nonlinear interactions of noises. The dynamical variables are mappings between a “fluid spacetime” and the physical spacetime and an essential aspect of our formulation is to identify the appropriate symmetries in the fluid spacetime. The theory applies to nonlinear disturbances around a general density matrix. For a thermal density matrix, we require an additional Z2 symmetry, to which we refer as the local KMS condition. This leads to the standard constraints of hydrodynamics, as well as a nonlinear generalization of the Onsager relations. It also leads to an emergent supersymmetry in the classical statistical regime, and a higher derivative deformation of supersymmetry in the full quantum regime.
Subfields: Astronomy and Astrophysics, Condensed Matter Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/89b5db9a27be05ab03ec3f711f734f5c5c6a2867
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Citations in the corpus
- A semiclassical ramp in SYK and in gravity (2018, background): “Preliminary study of this problem was in [72, 73, 74], and more recently, systematic procedures for writing higher order dissipative theories of hydrodynamics in this context have been developed, starting with [75, 76].”
- Relativistic Fluid Dynamics in and out of Equilibrium (2017, background): “First order gradient corrections linear in a-fields then lead to viscous corrections to T , whereas second-order terms in a-fields lead to two-point correlation functions [165, 166].”
- Fracton hydrodynamics (2020, methodology): “[73] Michael Crossley, Paolo Glorioso, and Hong Liu, “Effective field theory of dissipative fluids,” JHEP 09, 095 (2017), arXiv:1511.”
- A quantum hydrodynamical description for scrambling and many-body chaos (2017, methodology): “In [38, 39] the hydrodynamics action is formulated as an effective theory for a system in some state ρ0 defined on the closed time path (CTP), see figure 6.”