Hidden simplicity of the gravity action
We derive new representations of the EinsteinHilbert action in which graviton perturbation theory is immensely simplified. To accomplish this, we recast the EinsteinHilbert 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 firstorder differential equations. Since all Feynman diagrams are cubic, we are able to derive new offshell recursion relations for treelevel graviton scattering amplitudes. With a judicious choice of gauge fixing, we then construct an especially compact form for the EinsteinHilbert 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]}
 California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics
 Publication Date:
 Grant/Contract Number:
 SC0010255; DGE1144469
 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 10298479
 Publisher:
 Springer Berlin
 Research Org:
 California Inst. of Technology (CalTech), Pasadena, CA (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25); National Science Foundation (NSF)
 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
 OSTI Identifier:
 1424591
Cheung, Clifford, and Remmen, Grant N. Hidden simplicity of the gravity action. United States: N. p.,
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. 2017.
"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 EinsteinHilbert action in which graviton perturbation theory is immensely simplified. To accomplish this, we recast the EinsteinHilbert 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 firstorder differential equations. Since all Feynman diagrams are cubic, we are able to derive new offshell recursion relations for treelevel graviton scattering amplitudes. With a judicious choice of gauge fixing, we then construct an especially compact form for the EinsteinHilbert 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}
}