The graviton four-point function in de Sitter space

Bonifacio, James; Goodhew, Harry; Joyce, Austin; Pajer, Enrico; Stefanyszyn, David

Abstract

We compute the tree-level late-time graviton four-point correlation function, and the related quartic wavefunction coefficient, for Einstein gravity in de Sitter spacetime. We derive this result in several ways: by direct calculation, using the in-in formalism and the wavefunction of the universe; by a heuristic derivation leveraging the flat space wave-function coefficient; and by using the boostless cosmological bootstrap, in particular the combination of the cosmological optical theorem, the amplitude limit, and the manifestly local test. We find agreement among the different methods.

Citation

Bonifacio, J., Goodhew, H., Joyce, A., Pajer, E., & Stefanyszyn, D. (2023). The graviton four-point function in de Sitter space. Journal of High Energy Physics, 2023(6), Article 212. https://doi.org/10.1007/jhep06%282023%29212

• Journal Article Type: Article
• Acceptance Date: Jun 19, 2023
• Online Publication Date: Jun 30, 2023
• Publication Date: Jun 30, 2023
• Deposit Date: Aug 1, 2023
• Publicly Available Date: Aug 1, 2023
• Journal: Journal of High Energy Physics
• Electronic ISSN: 1029-8479
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 2023
• Issue: 6
• Article Number: 212
• DOI: https://doi.org/10.1007/jhep06%282023%29212
• Keywords: Cosmological models, de Sitter space
• Public URL: https://nottingham-repository.worktribe.com/output/22713841
• Publisher URL: https://link.springer.com/article/10.1007/JHEP06(2023)212