Primordial non-Gaussianities from inflation

Abstract

These notes present a detailed introduction to Maldacena's calculation of the three-point function generated by the simplest class of inflationary models: those with a single inflaton field whose potential satisfies the slow-roll conditions and whose quantum fluctuations start in the asymptotic Bunch-Davies vacuum state. The three-point function should be the most readily observed evidence for non-Gaussianities amongst the primordial fluctuations produced by inflation. In these inflationary theories the non-Gaussianities are predicted to be extremely small, being naturally suppressed by the small slow-roll parameters.

60 pages, the revised version greatly extends and corrects the earlier notes, the full calculation of the three-point function has now been included

References in corpus (1)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation

Cited by in corpus (11)

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• Efficient optimal non-Gaussian CMB estimators with polarisation
• A Cosmological Slavnov-Taylor Identity
• Entangled Scalar and Tensor Fluctuations during Inflation
• Renormalizing an initial state
• Cuscuton Bounce Beyond the Linear Regime: Bispectrum and Strong Coupling Constraints
• Lecture notes on non-Gaussianity
• Cosmic inflation in non-perturbative quantum gravity
• Cosmological Predictions from the Primordial Universe: Non-Gaussianities