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Hidden Simplicity of the Gravity Action

Cheung, Clifford and Remmen, Grant N. (2017) Hidden Simplicity of the Gravity Action. Journal of High Energy Physics, 2017 (9). Art. No. 002. ISSN 1126-6708. doi:10.1007/JHEP09(2017)002.

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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.

Item Type:Article
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URLURL TypeDescription Paper
Remmen, Grant N.0000-0001-6569-8866
Additional Information:© 2017 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: May 13, 2017; Revised: August 17, 2017; Accepted: August 18, 2017; Published: September 1, 2017. We thank Sean Carroll and Leo Stein for useful discussions and comments. C.C. is supported by a Sloan Research Fellowship and a DOE Early Career Award under Grant No. DE-SC0010255. G.N.R. is supported by a Hertz Graduate Fellowship and a NSF Graduate Research Fellowship under Grant No. DGE-1144469.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Alfred P. Sloan FoundationUNSPECIFIED
Department of Energy (DOE)DE-SC0010255
Fannie and John Hertz FoundationUNSPECIFIED
NSF Graduate Research FellowshipDGE-1144469
Subject Keywords:Classical Theories of Gravity, Scattering Amplitudes, Effective Field Theories
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Issue or Number:9
Record Number:CaltechAUTHORS:20170504-122756885
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77198
Deposited By: Joy Painter
Deposited On:04 May 2017 19:52
Last Modified:15 Nov 2021 17:28

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