Causality constraints on corrections to the graviton threepoint coupling
In this paper, we consider higher derivative corrections to the graviton threepoint 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 threepoint 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 $$\frac{ac}{c}$$≲ $$\frac{1}{2}$$ _{$${^Δ}_{gap}$$} in terms of Δgap, the dimension of the lightest single trace operator with spin J > 2. Lastly, for inflation, or de Sitterlike solutions, it indicates the existence of massive higher spin particles if the gravity wave nongaussianity deviates significantly from the one computed in the Einstein theory.
 Authors:

^{[1]};
^{[2]};
^{[3]};
^{[4]}
 MaxPlanckInstitut 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)
 Publication Date:
 Grant/Contract Number:
 SC0009988
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 2; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Inst. for Advanced Study, Princeton, NJ (United States)
 Sponsoring Org:
 USDOE Office of Science (SC)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AdSCFT Correspondence; Models of Quantum Gravity; Classical Theories of Gravity
 OSTI Identifier:
 1327285
Camanho, Xián O., Edelstein, José D., Maldacena, Juan, and Zhiboedov, Alexander. Causality constraints on corrections to the graviton threepoint coupling. United States: N. p.,
Web. doi:10.1007/JHEP02(2016)020.
Camanho, Xián O., Edelstein, José D., Maldacena, Juan, & Zhiboedov, Alexander. Causality constraints on corrections to the graviton threepoint coupling. United States. doi:10.1007/JHEP02(2016)020.
Camanho, Xián O., Edelstein, José D., Maldacena, Juan, and Zhiboedov, Alexander. 2016.
"Causality constraints on corrections to the graviton threepoint coupling". United States.
doi:10.1007/JHEP02(2016)020. https://www.osti.gov/servlets/purl/1327285.
@article{osti_1327285,
title = {Causality constraints on corrections to the graviton threepoint coupling},
author = {Camanho, Xián O. and Edelstein, José D. and Maldacena, Juan and Zhiboedov, Alexander},
abstractNote = {In this paper, we consider higher derivative corrections to the graviton threepoint 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 threepoint 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 $\frac{ac}{c}$≲ $\frac{1}{2}$ ${^Δ}_{gap}$ in terms of Δgap, the dimension of the lightest single trace operator with spin J > 2. Lastly, for inflation, or de Sitterlike solutions, it indicates the existence of massive higher spin particles if the gravity wave nongaussianity deviates significantly from the one computed in the Einstein theory.},
doi = {10.1007/JHEP02(2016)020},
journal = {Journal of High Energy Physics (Online)},
number = 2,
volume = 2016,
place = {United States},
year = {2016},
month = {2}
}