The inflationary wavefunction from analyticity and factorization
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Publication:5064655
DOI10.1088/1475-7516/2021/12/018zbMATH Open1487.83131arXiv2107.10266OpenAlexW3185799203WikidataQ114096404 ScholiaQ114096404MaRDI QIDQ5064655
Author name not available (Why is that?)
Publication date: 16 March 2022
Published in: (Search for Journal in Brave)
Abstract: We study the analytic properties of tree-level wavefunction coefficients in quasi-de Sitter space. We focus on theories which spontaneously break dS boost symmetries and can produce significant non-Gaussianities. The corresponding inflationary correlators are (approximately) scale invariant, but are not invariant under the full conformal group. We derive cutting rules and dispersion formulas for the late-time wavefunction coefficients by using factorization and analyticity properties of the dS bulk-to-bulk propagator. This gives a unitarity method which is valid at tree-level for general -point functions and for fields of arbitrary mass. Using the cutting rules and dispersion formulas, we are able to compute -point functions by gluing together lower-point functions. As an application, we study general four-point, scalar exchange diagrams in the EFT of inflation. We show that exchange diagrams constructed from boost-breaking interactions can be written as a finite sum over residues. Finally, we explain how the dS identities used in this work are related by analytic continuation to analogous identities in Anti-de Sitter space.
Full work available at URL: https://arxiv.org/abs/2107.10266
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