The coset construction for non-equilibrium systems

Landry, Michael J.

doi:10.1007/jhep07(2020)200

Title: The coset construction for non-equilibrium systems

Abstract

We propose a systematic coset construction of non-equilibrium effective field theories (EFTs) governing the long-distance and late-time dynamics of relativistic, finite-temperature condensed matter systems. Our non-equilibrium coset construction makes significant advances beyond more standard coset constructions in that it takes advantage of recently-developed techniques, which allow the formulation of non-equilibrium effective actions that account for quantum and thermal fluctuations as well as dissipation. Because these systems exist at finite temperature, the EFTs live on the closed-time-path of the Schwinger-Keldysh contour. Since the coset construction and the non-equilibrium effective actions may be unfamiliar to many readers, we include brief introductions to these topics in an effort to make this paper self-contained. To demonstrate the legitimacy of this coset construction, we successfully reproduce the known EFTs for fluids and superfluids at finite temperature. Then, to demonstrate its utility, we construct novel EFTs for solids, supersolids, and four phases of liquid crystals, all at finite temperature. We thereby combine the non-equilibrium effective action and the coset construction to create a powerful tool that can be used to study many-body systems out of thermal equilibrium.

Authors:

Landry, Michael J. ^[1]

Columbia Univ., New York, NY (United States). Center for Theoretical Physics. Dept. of Physics

Publication Date:: Tue Jul 28 00:00:00 EDT 2020

Research Org.:: Columbia Univ., New York, NY (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1802294

Grant/Contract Number:: SC0011941

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: 2020; Journal Issue: 7; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Physics

Citation Formats


                    Landry, Michael J. The coset construction for non-equilibrium systems.  United States: N. p., 2020. 
Web.  doi:10.1007/jhep07(2020)200.

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                    Landry, Michael J. The coset construction for non-equilibrium systems.  United States.  https://doi.org/10.1007/jhep07(2020)200

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                    Landry, Michael J. Tue .  
"The coset construction for non-equilibrium systems".  United States.  https://doi.org/10.1007/jhep07(2020)200.  https://www.osti.gov/servlets/purl/1802294.

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@article{osti_1802294,

  title        = {The coset construction for non-equilibrium systems},

  author       = {Landry, Michael J.},

  abstractNote = {We propose a systematic coset construction of non-equilibrium effective field theories (EFTs) governing the long-distance and late-time dynamics of relativistic, finite-temperature condensed matter systems. Our non-equilibrium coset construction makes significant advances beyond more standard coset constructions in that it takes advantage of recently-developed techniques, which allow the formulation of non-equilibrium effective actions that account for quantum and thermal fluctuations as well as dissipation. Because these systems exist at finite temperature, the EFTs live on the closed-time-path of the Schwinger-Keldysh contour. Since the coset construction and the non-equilibrium effective actions may be unfamiliar to many readers, we include brief introductions to these topics in an effort to make this paper self-contained. To demonstrate the legitimacy of this coset construction, we successfully reproduce the known EFTs for fluids and superfluids at finite temperature. Then, to demonstrate its utility, we construct novel EFTs for solids, supersolids, and four phases of liquid crystals, all at finite temperature. We thereby combine the non-equilibrium effective action and the coset construction to create a powerful tool that can be used to study many-body systems out of thermal equilibrium.},

  doi          = {10.1007/jhep07(2020)200},

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

  number       = 7,

  volume       = 2020,

  place        = {United States},

  year         = {Tue Jul 28 00:00:00 EDT 2020},

  month        = {Tue Jul 28 00:00:00 EDT 2020}

}

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Title: The coset construction for non-equilibrium systems

Abstract

Citation Formats

Inverse Higgs effect in nonlinear realizations journal, November 1975

The Quantum Theory of Fields, Volume 2: Modern Applications book, May 2013

A quantum hydrodynamical description for scrambling and many-body chaos journal, October 2018

Constraints on fluid dynamics from equilibrium partition functions journal, September 2012

Ghostbusters: unitarity and causality of non-equilibrium effective field theories journal, March 2020

Viscosity and dissipative hydrodynamics from effective field theory journal, May 2015

Effective field theory of dissipative fluids journal, September 2017

Dissipative hydrodynamics in superspace journal, September 2018

Lectures on non-equilibrium effective field theories and fluctuating hydrodynamics conference, September 2018

Effective field theory of dissipative fluids (II): classical limit, dynamical KMS symmetry and entropy current journal, September 2017

Viscoelastic hydrodynamics and holography journal, January 2020

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

Global anomalies, discrete symmetries and hydrodynamic effective actions journal, January 2019

Unified Hydrodynamic Theory for Crystals, Liquid Crystals, and Normal Fluids journal, December 1972

Relativistic fluids, superfluids, solids, and supersolids from a coset construction journal, February 2014

Second Sound in Solids journal, March 1968

Path-integral formula for local thermal equilibrium journal, August 2017

Effective field theory for hydrodynamics: Thermodynamics, and the derivative expansion journal, April 2012

Relativistic hydrodynamics from quantum field theory on the basis of the generalized Gibbs ensemble method journal, September 2015

Theory of hydrodynamic transport in fluctuating electronic charge density wave states journal, November 2017

Effective action for relativistic hydrodynamics: fluctuations, dissipation, and entropy inflow journal, October 2018

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

Relativistic Fluid Dynamics in and out of Equilibrium book, January 2019

Zoology of condensed matter: framids, ordinary stuff, extra-ordinary stuff journal, June 2015

Hydrodynamic Relations in Superconductivity journal, August 1989

A panoply of Schwinger-Keldysh transport journal, January 2018

Spontaneously Broken Spacetime Symmetries and Goldstone’s Theorem journal, February 2002

Towards Hydrodynamics without an Entropy Current journal, September 2012

Field Theory of Non-Equilibrium Systems book, January 2011

More on gapped Goldstones at finite density: more gapped Goldstones journal, November 2013

Holographic Schwinger-Keldysh effective field theories journal, May 2019

(Re-)inventing the relativistic wheel: gravity, cosets, and spinning objects journal, November 2014

On the elastic free energy for smectic-A liquid crystals journal, February 1993

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

Inverse Higgs effect in nonlinear realizations
journal, November 1975

The Quantum Theory of Fields, Volume 2: Modern Applications
book, May 2013

A quantum hydrodynamical description for scrambling and many-body chaos
journal, October 2018

Constraints on fluid dynamics from equilibrium partition functions
journal, September 2012

Ghostbusters: unitarity and causality of non-equilibrium effective field theories
journal, March 2020

Viscosity and dissipative hydrodynamics from effective field theory
journal, May 2015

Effective field theory of dissipative fluids
journal, September 2017

Dissipative hydrodynamics in superspace
journal, September 2018

Lectures on non-equilibrium effective field theories and fluctuating hydrodynamics
conference, September 2018

Effective field theory of dissipative fluids (II): classical limit, dynamical KMS symmetry and entropy current
journal, September 2017

Viscoelastic hydrodynamics and holography
journal, January 2020

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

Global anomalies, discrete symmetries and hydrodynamic effective actions
journal, January 2019

Unified Hydrodynamic Theory for Crystals, Liquid Crystals, and Normal Fluids
journal, December 1972

Relativistic fluids, superfluids, solids, and supersolids from a coset construction
journal, February 2014

Second Sound in Solids
journal, March 1968

Path-integral formula for local thermal equilibrium
journal, August 2017

Effective field theory for hydrodynamics: Thermodynamics, and the derivative expansion
journal, April 2012

Relativistic hydrodynamics from quantum field theory on the basis of the generalized Gibbs ensemble method
journal, September 2015

Theory of hydrodynamic transport in fluctuating electronic charge density wave states
journal, November 2017

Effective action for relativistic hydrodynamics: fluctuations, dissipation, and entropy inflow
journal, October 2018

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

Relativistic Fluid Dynamics in and out of Equilibrium
book, January 2019

Zoology of condensed matter: framids, ordinary stuff, extra-ordinary stuff
journal, June 2015

Hydrodynamic Relations in Superconductivity
journal, August 1989

A panoply of Schwinger-Keldysh transport
journal, January 2018

Spontaneously Broken Spacetime Symmetries and Goldstone’s Theorem
journal, February 2002

Towards Hydrodynamics without an Entropy Current
journal, September 2012

Field Theory of Non-Equilibrium Systems
book, January 2011

More on gapped Goldstones at finite density: more gapped Goldstones
journal, November 2013

Holographic Schwinger-Keldysh effective field theories
journal, May 2019

(Re-)inventing the relativistic wheel: gravity, cosets, and spinning objects
journal, November 2014

On the elastic free energy for smectic-A liquid crystals
journal, February 1993

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