Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 4, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP04(2020)110
Keywords
Classical Theories of Gravity; Scattering Amplitudes; AdS-CFT Correspondence
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Funding
- Infosys Endowment for the study of the Quantum Structure of Spacetime
- DST Inspire fellowship
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We explicitly construct every kinematically allowed three particle graviton- graviton-P and photon-photon-P S-matrix in every dimension and for every choice of the little group representation of the massive particle P. We also explicitly construct the spacetime Lagrangian that generates each of these couplings. In the case of gravitons we demonstrate that this Lagrangian always involves (derivatives of ) two factors of the Riemann tensor, and so is always of fourth or higher order in derivatives. This result verifies one of the assumptions made in the recent preprint [1] while attempting to establish the rigidity of the Einstein tree level S-matrix within the space of local classical theories coupled to a collection of particles of bounded spin.
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