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

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

Sandipan Kundu
(
- Texas U., TCC and
- Texas U.
)

Nov 6, 2013

44 pages

Published in:

JCAP 04 (2014) 016

Published: Apr 17, 2014

e-Print:

1311.1575 [astro-ph.CO]

DOI:

10.1088/1475-7516/2014/04/016

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Abstract: (IOP)

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.

Note:

44 pages

inflation
non-gaussianity
quantum field theory on curved space
cosmological perturbation theory
perturbation: tensor
inflation: slow-roll approximation
inflation: non-Gaussianity
initial state
back reaction
field theory

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Figures(0)

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