Lecture notes on non-Gaussianity
arXiv:1411.7002
Abstract
We discuss how primordial non-Gaussianity of the curvature perturbation helps to constrain models of the early universe. Observations are consistent with Gaussian initial conditions, compatible with the predictions of the simplest models of inflation. Deviations are constrained to be at the sub percent level, constraining alternative models such as those with multiple fields, non-canonical kinetic terms or breaking the slow-roll conditions. We introduce some of the most important models of inflation which generate non-Gaussian perturbations and provide practical tools on how to calculate the three-point correlation function for a popular class of non-Gaussian models. The current state of the field is summarised and an outlook is given.
Lectures aimed at an audience with little or no previous knowledge of the subject. Lectures held at the II JPBCosmo school in Espirito Santo, Brasil
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- Consistently violating the non-Gaussian consistency relation
- More on the Non-Gaussianity of Perturbations in a Non-Minimal Inflationary Model
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