Effective field theory of dissipative fluids (II): classical limit, dynamical KMS symmetry and entropy current
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JHEP09(2017)096.pdf
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Author(s)
Glorioso, Paolo
Crossley, Michael J.
Liu, Hong
Date Issued
September 2017
Journal
Journal of High Energy Physics
Publisher
Springer Berlin Heidelberg
Citation
Glorioso, Paolo et al. “Effective Field Theory of Dissipative Fluids (II): Classical Limit, Dynamical KMS Symmetry and Entropy Current.” Journal of High Energy Physics 2017, 9 (September 2017): 96 © 2017 The Author(s)
Version
Final published version
Abstract
In this paper we further develop the fluctuating hydrodynamics proposed in [1] in a number of ways. We first work out in detail the classical limit of the hydrodynamical action, which exhibits many simplifications. In particular, this enables a transparent formulation of the action in physical spacetime in the presence of arbitrary external fields. It also helps to clarify issues related to field redefinitions and frame choices. We then propose that the action is invariant under a Z[subscript 2] symmetry to which we refer as the dynamical KMS symmetry. The dynamical KMS symmetry is physically equivalent to the previously proposed local KMS condition in the classical limit, but is more convenient to implement and more general. It is applicable to any states in local equilibrium rather than just thermal density matrix perturbed by external background fields. Finally we elaborate the formulation for a conformal fluid, which contains some new features, and work out the explicit form of the entropy current to second order in derivatives for a neutral conformal fluid. Keywords: Effective Field Theories; Space-Time Symmetries; Quantum Dissipative Systems
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Creative Commons Attribution 4.0 International License
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DOI of Published Version
https://doi.org/10.1007/JHEP09(2017)096
