Double Soft Limits of Cosmological Correlations

Abstract

Correlation functions of two long-wavelength modes with several short-wavelength modes are shown to be related to lower order correlation functions, using the background wave method, and independently, by exploiting symmetries of the wavefunction of the Universe. These soft identities follow from the non-linear extension of the adiabatic modes of Weinberg, and their generalization by Hinterbichler et. al. The extension is shown to be unique. A few checks of the identities are presented.

18+16 pages

References in corpus (4)

• The Effective Field Theory of Inflation
• Conformal Symmetries of Adiabatic Modes in Cosmology
• Multiple Soft Limits of Cosmological Correlation Functions
• On the Initial State and Consistency Relations

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• CMB Anisotropies from a Gradient Mode
• The Cosmological OTOC: A New Proposal for Quantifying Auto-Correlated Random Non-Chaotic Primordial Fluctuations
• Non-local bispectra from super cosmic variance
• Inflation in Flatland
• The double-soft limit in cosmological correlation functions and graviton exchange effects