Journal
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
Volume -, Issue 4, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1475-7516/2014/04/016
Keywords
inflation; non-gaussianity; quantum field theory on et wed space; cosmological perturbation theory
Funding
- National Science Foundation [PHY-1316033, PHY-0969020]
- Texas Cosmology Center
- College of Natural Sciences and the Department of Astronomy at the University of Texas at Austin and the McDonald Observatory
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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.
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