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The graviton four-point function in de Sitter space

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arxiv 2212.07370 v1 pith:MYZV2BPX submitted 2022-12-14 hep-th astro-ph.COgr-qc

classification hep-thastro-ph.COgr-qc
keywords wavefunctioncoefficientcosmologicalfour-pointfunctiongravitonsitterspace
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Cosmological Grassmannian

    hep-th 2026-02 conditional novelty 7.0 of 10

    Massless spinning de Sitter correlators can be written as integrals over the orthogonal Grassmannian OGr(n,2n), which makes conformal and current-conservation constraints manifest and yields four-point functions nearl...

  2. Hidden Adler zeros and soft theorems for inflationary perturbations

    hep-th 2024-11 conditional novelty 6.0 of 10

    A new soft hierarchy makes soft theorems for inflationary perturbations independent of off-shell cubic vertices and fixes superfluid and scaling superfluid amplitudes up to the sound speed.

  3. Cosmological Correlators at the Loop Level

    hep-th 2024-11 conditional novelty 6.0 of 10

    Using the partial Mellin-Barnes method, the author derives analytic signals from one-loop bubble diagrams in inflation correlators, including the first analytic results for a de Sitter boost-breaking bubble.

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