Causality constraints on corrections to the graviton three-point coupling

Camanho, Xián O.; Edelstein, José D.; Maldacena, Juan; Zhiboedov, Alexander

doi:10.1007/JHEP02(2016)020

Title: Causality constraints on corrections to the graviton three-point coupling

Journal Article · Wed Feb 03 00:00:00 EST 2016 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP02(2016)020· OSTI ID:1327285

Camanho, Xián O. ^[1]; Edelstein, José D. ^[2]; Maldacena, Juan ^[3]; Zhiboedov, Alexander ^[4]

Max-Planck-Institut fur Gravitationsphysik (Germany)
Universidade de Santiago de Compostela (Spain); Centro de Estudios Cientcos CECs, Valdivia (Chile)
Inst. for Advanced Study, Princeton, NJ (United States)
Princeton Univ., NJ (United States)

In this paper, we consider higher derivative corrections to the graviton three-point coupling within a weakly coupled theory of gravity. Lorentz invariance allows further structures beyond the one present in the Einstein theory. We argue that these are constrained by causality. We devise a thought experiment involving a high energy scattering process which leads to causality violation if the graviton three-point vertex contains the additional structures. This violation cannot be fixed by adding conventional particles with spins J ≤ 2. But, it can be fixed by adding an in finite tower of extra massive particles with higher spins, J > 2. In AdS theories this implies a constraint on the conformal anomaly coefficients |$$\frac{a-c}{c}$$|≲ $$\frac{1}{2}$$ _{$${^Δ}_{gap}$$} in terms of Δgap, the dimension of the lightest single trace operator with spin J > 2. Lastly, for inflation, or de Sitter-like solutions, it indicates the existence of massive higher spin particles if the gravity wave non-gaussianity deviates significantly from the one computed in the Einstein theory.

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Research Organization:: Institute for Advanced Study, Princeton, NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0009988

OSTI ID:: 1327285

Journal Information:: Journal of High Energy Physics (Online), Vol. 2016, Issue 2; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 359 works

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Causality, renormalizability and ultra-high energy gravitational scattering Hollowood, Timothy J.; Shore, Graham M. Journal of Physics A: Mathematical and Theoretical, Vol. 49, Issue 21 https://doi.org/10.1088/1751-8113/49/21/215401	journal	April 2016
A conformal collider for holographic CFTs Afkhami-Jeddi, Nima; Kundu, Sandipan; Tajdini, Amirhossein Journal of High Energy Physics, Vol. 2018, Issue 10 https://doi.org/10.1007/jhep10(2018)156	journal	October 2018
The imaginary potential and thermal width of moving quarkonium from holography Fadafan, Kazem Bitaghsir; Tabatabaei, Seyed Kamal Journal of Physics G: Nuclear and Particle Physics, Vol. 43, Issue 9 https://doi.org/10.1088/0954-3899/43/9/095001	journal	August 2016
Cosmological shapes of higher-spin gravity Anninos, D.; Luca, V. De; Franciolini, G. Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 04 https://doi.org/10.1088/1475-7516/2019/04/045	journal	April 2019
Constraints on Gravitation from Causality and Quantum Consistency Hertzberg, Mark P. Advances in High Energy Physics, Vol. 2018 https://doi.org/10.1155/2018/2657325	journal	November 2018
A bound on chaos Maldacena, Juan; Shenker, Stephen H.; Stanford, Douglas arXiv https://doi.org/10.48550/arxiv.1503.01409	text	January 2015
Causality Constraints in Conformal Field Theory Hartman, Thomas; Jain, Sachin; Kundu, Sandipan arXiv https://doi.org/10.48550/arxiv.1509.00014	text	January 2015
Hawking from Catalan Fitzpatrick, A. Liam; Kaplan, Jared; Walters, Matthew T. arXiv https://doi.org/10.48550/arxiv.1510.00014	text	January 2015
Cardy Formula for 4d SUSY Theories and Localization Di Pietro, Lorenzo; Honda, Masazumi arXiv https://doi.org/10.48550/arxiv.1611.00380	text	January 2016
Radiation and the classical double copy for color charges Goldberger, Walter D.; Ridgway, Alexander K. arXiv https://doi.org/10.48550/arxiv.1611.03493	text	January 2016
Second-order transport, quasinormal modes and zero-viscosity limit in the Gauss-Bonnet holographic fluid Grozdanov, Sašo; Starinets, Andrei O. arXiv https://doi.org/10.48550/arxiv.1611.07053	text	January 2016
Analyticity in Spin in Conformal Theories Caron-Huot, Simon arXiv https://doi.org/10.48550/arxiv.1703.00278	text	January 2017
Holographic Reconstruction of AdS Exchanges from Crossing Symmetry Alday, Luis F.; Bissi, Agnese; Perlmutter, Eric arXiv https://doi.org/10.48550/arxiv.1705.02318	text	January 2017
Conformal Bootstrap in the Regge Limit Li, Daliang; Meltzer, David; Poland, David arXiv https://doi.org/10.48550/arxiv.1705.03453	text	January 2017
Holographic RG flow of thermo-electric transports with momentum dissipation Wu, Shao-Feng; Wang, Bin; Ge, Xian-Hui arXiv https://doi.org/10.48550/arxiv.1706.00718	text	January 2017
Massive Spin-2 Scattering and Asymptotic Superluminality Hinterbichler, Kurt; Joyce, Austin; Rosen, Rachel A. arXiv https://doi.org/10.48550/arxiv.1708.05716	text	January 2017
One-loop effective actions and higher spins. II Bonora, L.; Cvitan, M.; Prester, P. Dominis arXiv https://doi.org/10.48550/arxiv.1709.01738	text	January 2017
Shockwaves from the Operator Product Expansion Afkhami-Jeddi, Nima; Hartman, Thomas; Kundu, Sandipan arXiv https://doi.org/10.48550/arxiv.1709.03597	preprint	January 2017
Holographic studies of Einsteinian cubic gravity Bueno, Pablo; Cano, Pablo A.; Ruiperez, Alejandro arXiv https://doi.org/10.48550/arxiv.1802.00018	text	January 2018
The Conformal Bootstrap at Finite Temperature Iliesiu, Luca; Koloğlu, Murat; Mahajan, Raghu arXiv https://doi.org/10.48550/arxiv.1802.10266	text	January 2018
Butterfly Velocity in Quadratic Gravity Huang, Wung-Hong arXiv https://doi.org/10.48550/arxiv.1804.05527	text	January 2018
The Conformal Bootstrap: Theory, Numerical Techniques, and Applications Poland, David; Rychkov, Slava; Vichi, Alessandro arXiv https://doi.org/10.48550/arxiv.1805.04405	text	January 2018
Strongly coupled electron fluids in the Poiseuille regime Erdmenger, Johanna; Matthaiakakis, Ioannis; Meyer, Rene arXiv https://doi.org/10.48550/arxiv.1806.10635	text	January 2018
Rotating AdS black holes in Maxwell-$f(T)$ gravity Nashed, G. G. L.; Saridakis, Emmanuel N. arXiv https://doi.org/10.48550/arxiv.1811.03658	text	January 2018
Quantum Regge Trajectories and the Virasoro Analytic Bootstrap Collier, Scott; Gobeil, Yan; Maxfield, Henry arXiv https://doi.org/10.48550/arxiv.1811.05710	text	January 2018
Memory, Penrose Limits and the Geometry of Gravitational Shockwaves and Gyratons Shore, Graham M. arXiv https://doi.org/10.48550/arxiv.1811.08827	text	January 2018
Eikonal Scattering in Kaluza-Klein Gravity Collado, Arnau Koemans; Thomas, Steven arXiv https://doi.org/10.48550/arxiv.1901.05869	text	January 2019
Cosmological Shapes of Higher-Spin Gravity Anninos, D.; De Luca, V.; Franciolini, G. arXiv https://doi.org/10.48550/arxiv.1902.01251	text	January 2019
T-duality equivalences beyond string theory Edelstein, Jose D.; Sfetsos, Konstantinos; Sierra-Garcia, J. Anibal arXiv https://doi.org/10.48550/arxiv.1903.05554	text	January 2019
Growing Extra Dimensions in AdS/CFT Alday, Luis F.; Perlmutter, Eric arXiv https://doi.org/10.48550/arxiv.1906.01477	text	January 2019
Flux Tube S-matrix Bootstrap Miro, Joan Elias; Guerrieri, Andrea L.; Hebbar, Aditya arXiv https://doi.org/10.48550/arxiv.1906.08098	text	January 2019
Dynamical Constraints on RG Flows and Cosmology Baumann, Daniel; Green, Daniel; Hartman, Thomas arXiv https://doi.org/10.48550/arxiv.1906.10226	text	January 2019

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