Hidden simplicity of the gravity action

Cheung, Clifford; Remmen, Grant N.

doi:10.1007/JHEP09(2017)002

Hidden simplicity of the gravity action

Journal Article · Fri Sep 01 00:00:00 EDT 2017 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP09(2017)002· OSTI ID:1424591

Cheung, Clifford ^[1]; Remmen, Grant N. ^[2]

California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics; California Institute of Technology
California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics

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.

View Accepted Manuscript (DOE)

Research Organization:: California Inst. of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); National Science Foundation (NSF) (United States)

Grant/Contract Number:: SC0010255

OSTI ID:: 1424591

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 9 Vol. 2017; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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The Kerr-Schild double copy in curved spacetime Bahjat-Abbas, Nadia; Luna, Andrés; White, Chris D. Journal of High Energy Physics, Vol. 2017, Issue 12 https://doi.org/10.1007/jhep12(2017)004	journal	December 2017
Type D spacetimes and the Weyl double copy Luna, Andrés; Monteiro, Ricardo; Nicholson, Isobel Classical and Quantum Gravity, Vol. 36, Issue 6 https://doi.org/10.1088/1361-6382/ab03e6	journal	February 2019
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The Kerr-Schild double copy in curved spacetime Bahjat-Abbas, Nadia; Luna, Andrés; White, Chris D. arXiv https://doi.org/10.48550/arxiv.1710.01953	text	January 2017
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The classical double copy in three spacetime dimensions González, Mariana Carrillo; Melcher, Brandon; Ratliff, Kenneth arXiv https://doi.org/10.48550/arxiv.1904.11001	preprint	January 2019

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