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
References in corpus (11)
- Observational Signatures and Non-Gaussianities of General Single Field Inflation
- The shape of primordial non-Gaussianity and the CMB bispectrum
- Primordial trispectrum from inflation
- Primordial Curvature Fluctuation and Its Non-Gaussianity in Models with Modulated Reheating
- Curvature and isocurvature perturbations from two-field inflation in a slow-roll expansion
- Constraints on primordial non-Gaussianity from 800,000 photometric quasars
- A generalized local ansatz and its effect on halo bias
- Primordial non-Gaussianity in the large scale structure of the Universe
- Note on Non-Gaussianities in Two-field Inflation
- General analytic predictions of two-field inflation and perturbative reheating
- The quantum origin of cosmic structure: theory and observations