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Title: Ghostbusters: unitarity and causality of non-equilibrium effective field theories

Abstract

For a non-equilibrium physical system defined along a closed time path (CTP), a key constraint is the so-called largest time equation, which is a consequence of unitarity and implies causality. In this paper, we present a simple proof that if the propagators of a non-equilibrium effective action have the proper pole structure, the largest time equation is obeyed to all loop orders. Ghost fields and BRST symmetry are not needed. In particular, the arguments for the proof can also be used to show that if ghost fields are introduced, their contributions vanish.

Authors:
 [1];  [2];  [3]
  1. Harvard Univ., Cambridge, MA (United States)
  2. Univ. of Chicago, IL (United States). Enrico Fermi Inst.
  3. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1615011
Grant/Contract Number:  
SC0012567
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: 3; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; effective field theories; quantum dissipative systems; supersymmetric effective theories

Citation Formats

Gao, Ping, Glorioso, Paolo, and Liu, hong. Ghostbusters: unitarity and causality of non-equilibrium effective field theories. United States: N. p., 2020. Web. doi:10.1007/JHEP03(2020)040.
Gao, Ping, Glorioso, Paolo, & Liu, hong. Ghostbusters: unitarity and causality of non-equilibrium effective field theories. United States. https://doi.org/10.1007/JHEP03(2020)040
Gao, Ping, Glorioso, Paolo, and Liu, hong. Mon . "Ghostbusters: unitarity and causality of non-equilibrium effective field theories". United States. https://doi.org/10.1007/JHEP03(2020)040. https://www.osti.gov/servlets/purl/1615011.
@article{osti_1615011,
title = {Ghostbusters: unitarity and causality of non-equilibrium effective field theories},
author = {Gao, Ping and Glorioso, Paolo and Liu, hong},
abstractNote = {For a non-equilibrium physical system defined along a closed time path (CTP), a key constraint is the so-called largest time equation, which is a consequence of unitarity and implies causality. In this paper, we present a simple proof that if the propagators of a non-equilibrium effective action have the proper pole structure, the largest time equation is obeyed to all loop orders. Ghost fields and BRST symmetry are not needed. In particular, the arguments for the proof can also be used to show that if ghost fields are introduced, their contributions vanish.},
doi = {10.1007/JHEP03(2020)040},
journal = {Journal of High Energy Physics (Online)},
number = 3,
volume = 2020,
place = {United States},
year = {2020},
month = {3}
}

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Works referenced in this record:

Random Magnetic Fields, Supersymmetry, and Negative Dimensions
journal, September 1979


Theory of dynamic critical phenomena
journal, July 1977


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

  • Blake, Mike; Lee, Hyunseok; Liu, Hong
  • Journal of High Energy Physics, Vol. 2018, Issue 10
  • DOI: 10.1007/JHEP10(2018)127

Techniques de Renormalisation de la ThÉOrie des Champs et Dynamique des PhÉNomÈNes Critiques
journal, January 1976


An entropy current in superspace
journal, January 2019

  • Jensen, Kristan; Marjieh, Raja; Pinzani-Fokeeva, Natalia
  • Journal of High Energy Physics, Vol. 2019, Issue 1
  • DOI: 10.1007/JHEP01(2019)061

Brownian Motion of a Quantum Oscillator
journal, May 1961

  • Schwinger, Julian
  • Journal of Mathematical Physics, Vol. 2, Issue 3
  • DOI: 10.1063/1.1703727

Statistical Dynamics of Classical Systems
journal, July 1973


A field-theoretic approach to non-equilibrium work identities
journal, February 2011

  • Mallick, Kirone; Moshe, Moshe; Orland, Henri
  • Journal of Physics A: Mathematical and Theoretical, Vol. 44, Issue 9
  • DOI: 10.1088/1751-8113/44/9/095002

Effective field theory of dissipative fluids
journal, September 2017

  • Crossley, Michael; Glorioso, Paolo; Liu, Hong
  • Journal of High Energy Physics, Vol. 2017, Issue 9
  • DOI: 10.1007/JHEP09(2017)095

Dissipative hydrodynamics in superspace
journal, September 2018

  • Jensen, Kristan; Pinzani-Fokeeva, Natalia; Yarom, Amos
  • Journal of High Energy Physics, Vol. 2018, Issue 9
  • DOI: 10.1007/JHEP09(2018)127

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

  • Glorioso, Paolo; Crossley, Michael; Liu, Hong
  • Journal of High Energy Physics, Vol. 2017, Issue 9
  • DOI: 10.1007/JHEP09(2017)096

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

  • Haehl, Felix M.; Loganayagam, R.; Rangamani, Mukund
  • Journal of High Energy Physics, Vol. 2016, Issue 1
  • DOI: 10.1007/JHEP01(2016)184

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

  • Glorioso, Paolo; Liu, Hong; Rajagopal, Srivatsan
  • Journal of High Energy Physics, Vol. 2019, Issue 1
  • DOI: 10.1007/JHEP01(2019)043

Emergent supersymmetry in local equilibrium systems
journal, January 2018


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

  • Haehl, Felix M.; Loganayagam, R.; Rangamani, Mukund
  • Journal of High Energy Physics, Vol. 2017, Issue 6
  • DOI: 10.1007/JHEP06(2017)069

On the hidden supersymmetry of Fokker-Planck equations with potential forces
journal, May 1983


Onsager principle of microscopic reversibility and supersymmetry
journal, September 1984


Functional integral approach for multiplicative stochastic processes
journal, May 2010


Discontinuities of green functions in field theory at finite temperature and density (II)
journal, July 1986


Cutting rules in the real-time formalisms at finite temperature
journal, December 1997


Cutting Rules at Finite Temperature
journal, October 1997

  • Bedaque, Paulo F.; Das, Ashok; Naik, Satchidananda
  • Modern Physics Letters A, Vol. 12, Issue 33
  • DOI: 10.1142/S0217732397002612

Renormalization in open quantum field theory. Part I. Scalar field theory
journal, November 2017

  • Baidya, Avinash; Jana, Chandan; Loganayagam, R.
  • Journal of High Energy Physics, Vol. 2017, Issue 11
  • DOI: 10.1007/JHEP11(2017)204

The theory of a general quantum system interacting with a linear dissipative system
journal, October 1963