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.
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Acknowledgments
We thank Soner Albayrak, Daniel Baumann, Giovanni Cabass, Zongzhe Du, Carlos Duaso Pueyo, Aaron Hillman, Kurt Hinterbichler, Sadra Jazayeri, Savan Kharel, Hayden Lee, Guilherme Pimentel, and Akhil Premkumar for useful discussions. HG is supported jointly by the Science and Technology Facilities Council through a postgraduate studentship and the Cambridge Trust Vice Chancellor’s Award. The work of AJ is supported in part by DOE (HEP) Award DE-SC0009924. EP has been supported in part by the research program VIDI with Project No. 680-47-535, which is (partly) financed by the Netherlands Organisation for Scientific Research (NWO). DS is supported by a UKRI Stephen Hawking Fellowship [grant number EP/W005441/1] and a Nottingham Research Fellowship from the University of Nottingham. For the purpose of open access, the authors have applied a CC BY public copyright licence to any Author Accepted Manuscript version arising.
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Bonifacio, J., Goodhew, H., Joyce, A. et al. The graviton four-point function in de Sitter space. J. High Energ. Phys. 2023, 212 (2023). https://doi.org/10.1007/JHEP06(2023)212
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DOI: https://doi.org/10.1007/JHEP06(2023)212