On Non-Gaussianities in Multi-Field Inflation (N fields): Bi- and Tri-spectra beyond Slow-Roll

Abstract

We compute analytic expressions for the non-linearity parameters characterizing the bi- and tri-spectrum of primordial curvature perturbations generated during an inflationary epoch of the early universe driven by an arbitrary number of fields. We assume neither slow roll nor a separable potential; instead, to compute Non-Gaussianities, we assume a separable Hubble parameter. We apply the formalism to an exact solvable toy-model and show under which conditions observably large non-Gaussianities are produced.

25 pages, 3 figures. V3: labels in Fig.1-3 corrected over JCAP version (sign of fNL)

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• On the Unlikeliness of Multi-Field Inflation: Bounded Random Potentials and our Vacuum
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• $\delta N$ formalism from superpotential and holography
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• Bispectra from two-field inflation using the long-wavelength formalism
• Adiabaticity and the Fate of Non-Gaussianities: The Trispectrum and Beyond
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• Effective Field Theory of Multi-Field Inflation a la Weinberg
• Local non-Gaussianity from rapidly varying sound speeds
• Cosmological observables in multi-field inflation with a non-flat field space
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• A Smooth Landscape: Ending Saddle Point Inflation Requires Features to be Shallow
• Thermal fluctuations in viscous cosmology
• Mixed non-Gaussianity in multiple-DBI inflation
• On primordial trispectrum from exchanging scalar modes in general multiple field inflationary models
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• Covariant second-order perturbations in generalized two-field inflation
• Covariant evolution of perturbations during reheating in two-field inflation
• Origin of ultra-light fields during inflation and their suppressed non-Gaussianity
• On Inflation and Reheating Features in the Higgs-$R^2$ Model