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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) (SC-25)
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. doi: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. doi: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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