Hidden simplicity of the gravity action

Cheung, Clifford; Remmen, Grant N.

doi:10.1007/JHEP09(2017)002

Title: 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. ^[1]

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)

Cite

Export

Save

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

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

Grant/Contract Number:: SC0010255; DGE-1144469

OSTI ID:: 1424591

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

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 37 works

Citation information provided by
Web of Science

References (24)

Observation of Gravitational Waves from a Binary Black Hole Merger Abbott, B. P.; Abbott, R.; Abbott, T. D. Physical Review Letters, Vol. 116, Issue 6 https://doi.org/10.1103/PhysRevLett.116.061102	journal	February 2016
Quantum gravitational corrections to the nonrelativistic scattering potential of two masses Bjerrum-Bohr, N. E. J.; Donoghue, John F.; Holstein, Barry R. Physical Review D, Vol. 67, Issue 8 https://doi.org/10.1103/PhysRevD.67.084033	journal	April 2003
Absence of Three-Loop Four-Point Ultraviolet Divergences in $N = 4$ Supergravity Bern, Zvi; Davies, Scott; Dennen, Tristan Physical Review Letters, Vol. 108, Issue 20 https://doi.org/10.1103/PhysRevLett.108.201301	journal	May 2012
A relation between tree amplitudes of closed and open strings Kawai, H.; Lewellen, D. C.; Tye, S. -H. H. Nuclear Physics B, Vol. 269, Issue 1 https://doi.org/10.1016/0550-3213(86)90362-7	journal	May 1986
Berends-Giele recursions and the BCJ duality in superspace and components Mafra, Carlos R.; Schlotterer, Oliver Journal of High Energy Physics, Vol. 2016, Issue 3 https://doi.org/10.1007/JHEP03(2016)097	journal	March 2016
Symmetry for Flavor-Kinematics Duality from an Action Cheung, Clifford; Shen, Chia-Hsien Physical Review Letters, Vol. 118, Issue 12 https://doi.org/10.1103/PhysRevLett.118.121601	journal	March 2017
Classical space–times from the S-matrix Neill, Duff; Rothstein, Ira Z. Nuclear Physics B, Vol. 877, Issue 2 https://doi.org/10.1016/j.nuclphysb.2013.09.007	journal	December 2013
Variational formulation of general relativity from 1915 to 1925 ?Palatini's method? discovered by Einstein in 1925 Ferraris, M.; Francaviglia, M.; Reina, C. General Relativity and Gravitation, Vol. 14, Issue 3 https://doi.org/10.1007/BF00756060	journal	March 1982
Structure of the gravitational action and its relation with horizon thermodynamics and emergent gravity paradigm Parattu, Krishnamohan; Majhi, Bibhas Ranjan; Padmanabhan, T. Physical Review D, Vol. 87, Issue 12 https://doi.org/10.1103/PhysRevD.87.124011	journal	June 2013
Three applications of a bonus relation for gravity amplitudes Spradlin, Marcus; Volovich, Anastasia; Wen, Congkao Physics Letters B, Vol. 674, Issue 1 https://doi.org/10.1016/j.physletb.2009.02.059	journal	April 2009
Self-interaction and gauge invariance Deser, S. General Relativity and Gravitation, Vol. 1, Issue 1 https://doi.org/10.1007/BF00759198	journal	January 1970
Perturbative gravity from QCD amplitudes Bern, Z.; Grant, A. K. Physics Letters B, Vol. 457, Issue 1-3 https://doi.org/10.1016/S0370-2693(99)00524-9	journal	June 1999
What is the simplest quantum field theory? Arkani-Hamed, Nima; Cachazo, Freddy; Kaplan, Jared Journal of High Energy Physics, Vol. 2010, Issue 9 https://doi.org/10.1007/JHEP09(2010)016	journal	September 2010
On factorizations in perturbative quantum gravity Hohm, Olaf Journal of High Energy Physics, Vol. 2011, Issue 4 https://doi.org/10.1007/JHEP04(2011)103	journal	April 2011
Recursive calculations for processes with n gluons Berends, F. A.; Giele, W. T. Nuclear Physics B, Vol. 306, Issue 4 https://doi.org/10.1016/0550-3213(88)90442-7	journal	September 1988
Black holes and the double copy Monteiro, R.; O’Connell, D.; White, C. D. Journal of High Energy Physics, Vol. 2014, Issue 12 https://doi.org/10.1007/JHEP12(2014)056	journal	December 2014
Twofold symmetries of the pure gravity action Cheung, Clifford; Remmen, Grant N. Journal of High Energy Physics, Vol. 2017, Issue 1 https://doi.org/10.1007/JHEP01(2017)104	journal	January 2017
What is the Simplest Quantum Field Theory? Arkani-Hamed, Nima; Cachazo, Freddy; Kaplan, Jared arXiv https://doi.org/10.48550/arxiv.0808.1446	text	January 2008
Three Applications of a Bonus Relation for Gravity Amplitudes Spradlin, Marcus; Volovich, Anastasia; Wen, Congkao arXiv https://doi.org/10.48550/arxiv.0812.4767	text	January 2008
On factorizations in perturbative quantum gravity Hohm, Olaf arXiv https://doi.org/10.48550/arxiv.1103.0032	text	January 2011
The Structure of the Gravitational Action and its relation with Horizon Thermodynamics and Emergent Gravity Paradigm Parattu, Krishnamohan; Majhi, Bibhas Ranjan; Padmanabhan, T. arXiv https://doi.org/10.48550/arxiv.1303.1535	text	January 2013
Berends-Giele recursions and the BCJ duality in superspace and components Mafra, Carlos R.; Schlotterer, Oliver arXiv https://doi.org/10.48550/arxiv.1510.08846	text	January 2015
Self-Interaction and Gauge Invariance Deser, S. arXiv https://doi.org/10.48550/arxiv.gr-qc/0411023	text	January 2004
Quantum Gravitational Corrections to the Nonrelativistic Scattering Potential of Two Masses Bjerrum-Bohr, N. E. J.; Donoghue, John F.; Holstein, Barry R. arXiv https://doi.org/10.48550/arxiv.hep-th/0211072	text	January 2002

Cited By (7)

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
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
Inelastic Black Hole Scattering from Charged Scalar Amplitudes Luna, Andrés; Nicholson, Isobel; O'Connell, Donal arXiv https://doi.org/10.48550/arxiv.1711.03901	text	January 2017
Gravitational radiation from the classical spinning double copy Li, Jingping; Prabhu, Siddharth G. arXiv https://doi.org/10.48550/arxiv.1803.02405	text	January 2018
Gravitational Radiation from Color-Kinematics Duality Shen, Chia-Hsien arXiv https://doi.org/10.48550/arxiv.1806.07388	text	January 2018
Type D Spacetimes and the Weyl Double Copy Luna, Andres; Monteiro, Ricardo; Nicholson, Isobel arXiv https://doi.org/10.48550/arxiv.1810.08183	text	January 2018
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

Similar Records

Twofold symmetries of the pure gravity action

Journal Article · Wed Jan 25 00:00:00 EST 2017 · Journal of High Energy Physics (Online) · OSTI ID:1424591

Cheung, Clifford; Remmen, Grant N.

Bootstrapping gravity: A consistent approach to energy-momentum self-coupling

Journal Article · Thu Oct 15 00:00:00 EDT 2009 · Physical Review. D, Particles Fields · OSTI ID:1424591

Butcher, Luke M; Hobson, Michael; Lasenby, Anthony

Symmetry for Flavor-Kinematics Duality from an Action

Journal Article · Thu Mar 23 00:00:00 EDT 2017 · Physical Review Letters · OSTI ID:1424591

Cheung, Clifford; Shen, Chia-Hsien

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
classical theories of gravity
scattering amplitudes
effective field theories

Title: Hidden simplicity of the gravity action

Citation Formats

References (24)

Cited By (7)

Similar Records

Related Subjects