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