The inflationary prediction for primordial non-gaussianity

Abstract

We extend the δN formalism so that it gives all of the stochastic properties of the primordial curvature perturbation ζif the initial field perturbations are gaussian. The calculation requires only the knowledge of some family of unperturbed universes. A formula is given for the normalisation \fnl of the bispectrum of ζ, which is the main signal of non-gaussianity. Examples of the use of the formula are given, and its relation to cosmological perturbation theory is explained.

Revtex Latex file. 4 pages, no figures. v4: minor changes, typos corrected, references added and updated. Version published in Physical Review Letters

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• Passive Curvaton
• Separate universe in multifield inflation: a phase-space approach
• $\delta n$ formalism: A new formulation for the probability density of the curvature perturbation
• Testing Inflationary Cosmology
• Cosmological long-wavelength solutions in non-adiabatic multi-fluid systems
• Inhomogeneous Reheating Scenario with DBI fields
• Non-Gaussianity in Cosmology: from Inflation to the CMB
• Kinematically Blocked Curvaton
• Non-Gaussianity after many-field reheating
• Sustainability of multi-field inflation and bound on string scale
• Moment transport equations and their application to the perturbed universe