Non-Gaussianity Consistency Relations, Initial States and Back-reaction

Abstract

We explore the consistency relations for the three-point functions, in the squeezed limit, of scalar and tensor perturbations in single-field inflation with general initial conditions for the perturbations. For slow-roll inflation, we find that all the three-point functions of scalar and tensor perturbations with a coherent state as the initial state are identical to the three-point functions with the Bunch-Davies initial state. On the other hand, there is an apparent violation of some of the consistency relations for initial states that are related to the Bunch-Davies state by Bogoliubov transformations and we identify the reason for this violation. The back-reaction calculations indicate that the three-point functions for these states can be large enough to violate the consistency relations, however, they are too small to be observed in the near future.

44 pages

References in corpus (4)

• Observational Signatures and Non-Gaussianities of General Single Field Inflation
• Enhanced Non-Gaussianity from Excited Initial States
• On the consistency relation of the 3-point function in single field inflation
• A Note on Calm Excited States of Inflation

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