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The inflationary wavefunction from analyticity and factorization

delete2021-12-07
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OA
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D
David O. Meltzer *
DOI:10.1088/1475-7516/2021/12/018delete
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Abstract

Abstract

En 中文
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.
Keywords:
inflation
non-gaussianity
quantum field theory on curved space
string theory and cosmology

Journal

Journal of Cosmology and Astroparticle Physics cover
Journal of Cosmology and Astroparticle Physics
IF:
5.9
Papers:
1.3W
Citations:
4.7W

Organization

C
California Institute of Technology
Scholars:
2.9W
Papers: 2.5W
Citations: 4.9W