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

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.
Authors:
 [1] ;  [2] ;  [3] ;  [4]
  1. Max-Planck-Institut fur Gravitationsphysik (Germany)
  2. Universidade de Santiago de Compostela (Spain); Centro de Estudios Cient cos CECs, Valdivia (Chile)
  3. Inst. for Advanced Study, Princeton, NJ (United States)
  4. 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 1029-8479
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; AdS-CFT 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 three-point 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 three-point 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 three-point 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 three-point 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 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.},
doi = {10.1007/JHEP02(2016)020},
journal = {Journal of High Energy Physics (Online)},
number = 2,
volume = 2016,
place = {United States},
year = {2016},
month = {2}
}