Non-Gaussian corrections to the probability distribution of the curvature perturbation from inflation

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dc.creatorSeery, David
dc.creatorHidalgo, J. Carlos
dc.date2006-04-27
dc.date2006-07-14
dc.date.accessioned2026-07-07T07:04:44Z
dc.date.available2026-07-07T07:04:44Z
dc.descriptionWe show how to obtain the probability density function for the amplitude of the curvature perturbation, R, produced during an epoch of slow-roll, single-field inflation, working directly from n-point correlation functions of R. These n-point functions are the usual output of quantum field theory calculations, and as a result we bypass approximate statistical arguments based on the central limit theorem. Our method can be extended to deal with arbitrary forms of non-Gaussianity, appearing at any order in the n-point hierarchy. We compute the probability density for the total smoothed perturbation within a Hubble volume, ε, and for the spectrum of ε. When only the two-point function is retained, exact Gaussian statistics are recovered. When the three-point function is taken into account, we compute explicitly the leading slow-roll correction to the Gaussian result.
dc.description30 pages; uses iopart.cls LaTeX style. v2: Replaced with version accepted by JCAP
dc.identifierhttps://arxiv.org/abs/astro-ph/0604579
dc.identifierhttp://arxiv.org/abs/astro-ph/0604579
dc.identifierJCAP 0607 (2006) 008
dc.identifierdoi:10.1088/1475-7516/2006/07/008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/109428
dc.subjectAstrophysics
dc.titleNon-Gaussian corrections to the probability distribution of the curvature perturbation from inflation
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