Effective field theory of dissipative fluids
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13130_2017_Article_6687.pdf
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1.32 MB
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Author(s)
Crossley, Michael J.
Glorioso, Paolo
Liu, Hong
Date Issued
September 2017
Journal
Journal of High Energy Physics
Publisher
Springer Berlin Heidelberg
Citation
Crossley, Michael et al. "Effective field theory of dissipative fluids." Journal of High Energy Physics 2017 (September 2017): 95 © 2017 The Author(s)
Version
Final published version
Abstract
We 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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/JHEP09(2017)095
