Effective field theory of dissipative fluids
We develop an effctive fi eld theory for dissipative fluids which governs the dynamics of longlived 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.
 Authors:

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 Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
 Publication Date:
 Grant/Contract Number:
 FG0205ER41360
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 9; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
 Sponsoring Org:
 USDOE
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Effective Field Theories, SpaceTime Symmetries, Quantum Dissipative Systems, Supersymmetric Effective Theories
 OSTI Identifier:
 1429916
Crossley, Michael, Glorioso, Paolo, and Liu, Hong. Effective field theory of dissipative fluids. United States: N. p.,
Web. doi:10.1007/JHEP09(2017)095.
Crossley, Michael, Glorioso, Paolo, & Liu, Hong. Effective field theory of dissipative fluids. United States. doi:10.1007/JHEP09(2017)095.
Crossley, Michael, Glorioso, Paolo, and Liu, Hong. 2017.
"Effective field theory of dissipative fluids". United States.
doi:10.1007/JHEP09(2017)095. https://www.osti.gov/servlets/purl/1429916.
@article{osti_1429916,
title = {Effective field theory of dissipative fluids},
author = {Crossley, Michael and Glorioso, Paolo and Liu, Hong},
abstractNote = {We develop an effctive fi eld theory for dissipative fluids which governs the dynamics of longlived 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.},
doi = {10.1007/JHEP09(2017)095},
journal = {Journal of High Energy Physics (Online)},
number = 9,
volume = 2017,
place = {United States},
year = {2017},
month = {9}
}