How robust is the prediction of Gaussian statistics within single-field inflation?

Astronomy and Astrophysics – Astronomy

Scientific paper

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98.80.Cq, 98.70.Vc

Scientific paper

In the context of single-field inflation, we study the statistics of the CMB anisotropies. We assume an initial state for the perturbations of quantum-mechanical origin, which is different that the vacuum and we find a non-Gaussian signature in the fourth-point correlation function. We calculate the excess kurtosis and compare it to the cosmic variance. We conclude that the non-Gaussian signal is unobservable. Thus, with respect to measurements, Gaussianity is a robust prediction of inflation.
Work done in collaboration with A. Gangui and J. Martin.

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