Résumé / Abstract Seminaire_GReCO

"Computation and characteristics of inflationary three-point functions "

V. Sreenath

In this talk, divided into two parts, I shall describe our efforts to
numerically evaluate the inflationary three-point functions (which
evidently include, apart from the oft-considered scalar bi-spectrum, the
cross-correlations involving scalars and tensors as well as the tensor
bi-spectrum), and also discuss the consistency relations obeyed by all the
three-point functions. In the first part of the talk, I shall outline the
numerical procedure we have constructed, based on the Maldacena formalism,
to compute the three-point functions in single field inflationary models
involving the canonical scalar field. After introducing dimensionless
non-Gaussianity parameters to characterize the scalar-tensor
cross-correlations, I shall utilize the numerical code to study the
behavior of non-Gaussianity parameters describing all the three-point
functions in three types of inflationary models which contain departures
from slow roll and lead to power spectra with features that result in an
improved fit to the CMB data. In the second part of the talk, following a
sketch of the derivation of the consistency relations, I shall express the
consistency relations in terms of the non-Gaussianity parameters and
explicitly examine (analytically as well as numerically) the validity of
these relations away from slow roll. I shall illustrate that the
consistency conditions hold true even in scenarios consisting of strong
departures from slow roll.

jeudi 9 octobre 2014 - 14:00
Salle 281,
Institut d'Astrophysique de Paris

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