The graviton four-point function in de Sitter space

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 wavefunction 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.

46 pages

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Cited by in corpus (11)

• Bootstrapping Multi-Field Inflation: non-Gaussianities from light scalars revisited
• Cosmological Correlators Through the Looking Glass: Reality, Parity, and Factorisation
• A Cosmological Bootstrap for Resonant Non-Gaussianity
• Renormalisation of IR divergences and holography in de Sitter
• The Geometry of Cosmological Correlators
• Cosmological cutting rules for Bogoliubov initial states
• The Massive Flat Space Limit of Cosmological Correlators
• Inflationary non-Gaussianities in alpha vacua and consistency with conformal symmetries
• Soft Limits of Gluon and Graviton Correlators in Anti-de Sitter Space
• Notes on weight-shifting operators and unifying relations for cosmological correlators
• A Match Made in Heaven: Linking Observables in Inflationary Cosmology