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Title: Hidden simplicity of the gravity action

Abstract

We derive new representations of the Einstein-Hilbert action in which graviton perturbation theory is immensely simplified. To accomplish this, we recast the Einstein-Hilbert action as a theory of purely cubic interactions among gravitons and a single auxiliary field. The corresponding equations of motion are the Einstein field equations rewritten as two coupled first-order differential equations. Since all Feynman diagrams are cubic, we are able to derive new off-shell recursion relations for tree-level graviton scattering amplitudes. With a judicious choice of gauge fixing, we then construct an especially compact form for the Einstein-Hilbert action in which all graviton interactions are simply proportional to the graviton kinetic term. Our results apply to graviton perturbations about an arbitrary curved background spacetime.

Authors:
 [1];  [1]
  1. California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics
Publication Date:
Research Org.:
California Institute of Technology (CalTech), Pasadena, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); National Science Foundation (NSF)
OSTI Identifier:
1424591
Grant/Contract Number:  
SC0010255; DGE-1144469
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:
79 ASTRONOMY AND ASTROPHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; classical theories of gravity; scattering amplitudes; effective field theories

Citation Formats

Cheung, Clifford, and Remmen, Grant N. Hidden simplicity of the gravity action. United States: N. p., 2017. Web. doi:10.1007/JHEP09(2017)002.
Cheung, Clifford, & Remmen, Grant N. Hidden simplicity of the gravity action. United States. doi:10.1007/JHEP09(2017)002.
Cheung, Clifford, and Remmen, Grant N. Fri . "Hidden simplicity of the gravity action". United States. doi:10.1007/JHEP09(2017)002. https://www.osti.gov/servlets/purl/1424591.
@article{osti_1424591,
title = {Hidden simplicity of the gravity action},
author = {Cheung, Clifford and Remmen, Grant N.},
abstractNote = {We derive new representations of the Einstein-Hilbert action in which graviton perturbation theory is immensely simplified. To accomplish this, we recast the Einstein-Hilbert action as a theory of purely cubic interactions among gravitons and a single auxiliary field. The corresponding equations of motion are the Einstein field equations rewritten as two coupled first-order differential equations. Since all Feynman diagrams are cubic, we are able to derive new off-shell recursion relations for tree-level graviton scattering amplitudes. With a judicious choice of gauge fixing, we then construct an especially compact form for the Einstein-Hilbert action in which all graviton interactions are simply proportional to the graviton kinetic term. Our results apply to graviton perturbations about an arbitrary curved background spacetime.},
doi = {10.1007/JHEP09(2017)002},
journal = {Journal of High Energy Physics (Online)},
number = 9,
volume = 2017,
place = {United States},
year = {2017},
month = {9}
}

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Works referenced in this record:

Observation of Gravitational Waves from a Binary Black Hole Merger
journal, February 2016


Quantum gravitational corrections to the nonrelativistic scattering potential of two masses
journal, April 2003

  • Bjerrum-Bohr, N. E. J.; Donoghue, John F.; Holstein, Barry R.
  • Physical Review D, Vol. 67, Issue 8
  • DOI: 10.1103/PhysRevD.67.084033

Absence of Three-Loop Four-Point Ultraviolet Divergences in N = 4 Supergravity
journal, May 2012


A relation between tree amplitudes of closed and open strings
journal, May 1986


Berends-Giele recursions and the BCJ duality in superspace and components
journal, March 2016

  • Mafra, Carlos R.; Schlotterer, Oliver
  • Journal of High Energy Physics, Vol. 2016, Issue 3
  • DOI: 10.1007/JHEP03(2016)097

Symmetry for Flavor-Kinematics Duality from an Action
journal, March 2017


Classical space–times from the S-matrix
journal, December 2013


Variational formulation of general relativity from 1915 to 1925 ?Palatini's method? discovered by Einstein in 1925
journal, March 1982

  • Ferraris, M.; Francaviglia, M.; Reina, C.
  • General Relativity and Gravitation, Vol. 14, Issue 3
  • DOI: 10.1007/BF00756060

Structure of the gravitational action and its relation with horizon thermodynamics and emergent gravity paradigm
journal, June 2013

  • Parattu, Krishnamohan; Majhi, Bibhas Ranjan; Padmanabhan, T.
  • Physical Review D, Vol. 87, Issue 12
  • DOI: 10.1103/PhysRevD.87.124011

Three applications of a bonus relation for gravity amplitudes
journal, April 2009


Self-interaction and gauge invariance
journal, January 1970


Perturbative gravity from QCD amplitudes
journal, June 1999


What is the simplest quantum field theory?
journal, September 2010

  • Arkani-Hamed, Nima; Cachazo, Freddy; Kaplan, Jared
  • Journal of High Energy Physics, Vol. 2010, Issue 9
  • DOI: 10.1007/JHEP09(2010)016

On factorizations in perturbative quantum gravity
journal, April 2011


Recursive calculations for processes with n gluons
journal, September 1988


Black holes and the double copy
journal, December 2014

  • Monteiro, R.; O’Connell, D.; White, C. D.
  • Journal of High Energy Physics, Vol. 2014, Issue 12
  • DOI: 10.1007/JHEP12(2014)056

Twofold symmetries of the pure gravity action
journal, January 2017

  • Cheung, Clifford; Remmen, Grant N.
  • Journal of High Energy Physics, Vol. 2017, Issue 1
  • DOI: 10.1007/JHEP01(2017)104