Effective field theory of dissipative fluids (II): classical limit, dynamical KMS symmetry and entropy current

Glorioso, Paolo; Crossley, Michael; Liu, Hong

doi:10.1007/JHEP09(2017)096

Title: Effective field theory of dissipative fluids (II): classical limit, dynamical KMS symmetry and entropy current

Abstract

Here in this paper we further develop the fluctuating hydrodynamics proposed 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 Z2 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.

Authors:

Glorioso, Paolo ^[1]; Crossley, Michael ^[2]; Liu, Hong ^[2]

Univ. of Chicago, IL (United States). Kadanoff Center for Theoretical Physics and Enrico Fermi Inst.
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics

Publication Date:: Wed Sep 20 00:00:00 EDT 2017

Research Org.:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1430044

Grant/Contract Number:: FG02-05ER41360

Resource 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 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Effective Field Theories; Space-Time Symmetries; Quantum Dissipative Systems

Citation Formats


                    Glorioso, Paolo, Crossley, Michael, and Liu, Hong. Effective field theory of dissipative fluids (II): classical limit, dynamical KMS symmetry and entropy current.  United States: N. p., 2017. 
Web.  doi:10.1007/JHEP09(2017)096.

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                    Glorioso, Paolo, Crossley, Michael, & Liu, Hong. Effective field theory of dissipative fluids (II): classical limit, dynamical KMS symmetry and entropy current.  United States.  https://doi.org/10.1007/JHEP09(2017)096

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                    Glorioso, Paolo, Crossley, Michael, and Liu, Hong. Wed .  
"Effective field theory of dissipative fluids (II): classical limit, dynamical KMS symmetry and entropy current".  United States.  https://doi.org/10.1007/JHEP09(2017)096.  https://www.osti.gov/servlets/purl/1430044.

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@article{osti_1430044,

  title        = {Effective field theory of dissipative fluids (II): classical limit, dynamical KMS symmetry and entropy current},

  author       = {Glorioso, Paolo and Crossley, Michael and Liu, Hong},

  abstractNote = {Here in this paper we further develop the fluctuating hydrodynamics proposed 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 Z2 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.},

  doi          = {10.1007/JHEP09(2017)096},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 9,

  volume       = 2017,

  place        = {United States},

  year         = {Wed Sep 20 00:00:00 EDT 2017},

  month        = {Wed Sep 20 00:00:00 EDT 2017}

}

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An entropy current in superspace
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Title: Effective field theory of dissipative fluids (II): classical limit, dynamical KMS symmetry and entropy current

Abstract

Citation Formats

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The fluid manifesto: emergent symmetries, hydrodynamics, and black holes journal, January 2016

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Effective field theory for fluids: Hall viscosity from a Wess-Zumino-Witten term journal, November 2014

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Eightfold Classification of Hydrodynamic Dissipation journal, May 2015

Zero-viscosity limit in a holographic Gauss-Bonnet liquid journal, January 2015

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Deconstructing holographic liquids text, January 2010

The quantum mechanics of perfect fluids text, January 2010

Towards hydrodynamics without an entropy current text, January 2012

Effective field theory for fluids: Hall viscosity from a Wess-Zumino-Witten term text, January 2014

Wess-Zumino Terms for Relativistic Fluids, Superfluids, Solids, and Supersolids text, January 2014

Entropy Current from Partition Function: One Example text, January 2014

Towards an effective action for relativistic dissipative hydrodynamics text, January 2014

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On thermal fluctuations and the generating functional in relativistic hydrodynamics text, January 2015

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Effective Action for Relativistic Hydrodynamics: Fluctuations, Dissipation, and Entropy Inflow text, January 2018

Sub-GeV Dark Matter in Superfluid He-4: an Effective Theory Approach text, January 2019

Extensivity, entropy current, area law and Unruh effect text, January 2019

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Universality of second order transport in Gauss-Bonnet gravity
journal, April 2013

Universality of second order transport coefficients from the gauge–string duality
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journal, July 2014

On thermal fluctuations and the generating functional in relativistic hydrodynamics
journal, July 2015

Schwinger-Keldysh formalism. Part I: BRST symmetries and superspace
journal, June 2017

Effective actions for relativistic fluids from holography
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Constraints on fluid dynamics from equilibrium partition functions
journal, September 2012

Variational principle for theories with dissipation from analytic continuation
journal, September 2016

Null energy condition and superluminal propagation
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Adiabatic hydrodynamics: the eightfold way to dissipation
journal, May 2015

The fluid manifesto: emergent symmetries, hydrodynamics, and black holes
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On the universal identity in second order hydrodynamics
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Deconstructing holographic liquids
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Effective field theory for fluids: Hall viscosity from a Wess-Zumino-Witten term
journal, November 2014

Off-shell hydrodynamics from holography
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Towards Hydrodynamics without an Entropy Current
journal, September 2012

Eightfold Classification of Hydrodynamic Dissipation
journal, May 2015

Zero-viscosity limit in a holographic Gauss-Bonnet liquid
journal, January 2015

Towards an effective action for relativistic dissipative hydrodynamics
journal, July 2014

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journal, December 2009

Quantum Field Theory and Critical Phenomena (4th Edition)
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Quantum Field Theory and Critical Phenomena
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Universality of second order transport coefficients from the gauge-string duality
text, January 2008

Deconstructing holographic liquids
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Wess-Zumino Terms for Relativistic Fluids, Superfluids, Solids, and Supersolids
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