Journal
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
Volume -, Issue 12, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1475-7516/2021/12/018
Keywords
inflation; non-gaussianity; quantum field theory on curved space; string theory and cosmology
Funding
- Walter Burke Institute for Theoretical Physics
- Sherman Fairchild Foundation
- U.S. Department of Energy, Office of Science, Office of High Energy Physics [DE-SC0011632]
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The study focuses on the analytic properties of tree-level wavefunction coefficients in quasi de Sitter space and their application in theories that spontaneously break dS boost symmetries. Cutting rules and dispersion formulas for late-time wavefunction coefficients are derived using factorization and analyticity properties, allowing for the computation of n-point functions by gluing lower-point functions together. It is shown that exchange diagrams constructed from boost-breaking interactions can be expressed as a finite sum over residues.
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.
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