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The Inflationary Wavefunction from Analyticity and Factorization

Meltzer, David (2021) The Inflationary Wavefunction from Analyticity and Factorization. . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20210922-182507168

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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 n-point functions and for fields of arbitrary mass. Using the cutting rules and dispersion formulas, we are able to compute $n$-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.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/2107.10266arXivDiscussion Paper
Additional Information:We thank Sadra Jazayeri, Savan Kharel, Junyu Liu, Enrico Pajer, Julio Parra-Martinez, David Simmons-Duffin, and Allic Sivaramakrishnan for discussions. The research of DM is supported by the Walter Burke Institute for Theoretical Physics and the Sherman Fairchild Foundation. This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632.
Group:Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0011632
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Other Numbering System:
Other Numbering System NameOther Numbering System ID
CALT-TH2021-028
Record Number:CaltechAUTHORS:20210922-182507168
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20210922-182507168
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:110988
Collection:CaltechAUTHORS
Deposited By: Joy Painter
Deposited On:22 Sep 2021 18:46
Last Modified:22 Sep 2021 18:52

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