Enhanced local-type inflationary trispectrum from a non-vacuum initial state

Details Enhanced local-type inflationary trispectrum from a non-vacuum initial state Enhanced local-type inflationary trispectrum from a non-vacuum initial state

2011-12-07

arxiv.org/abs/1112.1581v2

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

11 pages, 1 figure. References added, typos corrected, minor changes

Scientific paper

We compute the primordial trispectrum for curvature perturbations produced during cosmic inflation in models with standard kinetic terms, when the initial quantum state is not necessarily the vacuum state. The presence of initial perturbations enhances the trispectrum amplitude for configuration in which one of the momenta, say $k_3$, is much smaller than the others, $k_3 \ll k_{1,2,4}$. For those squeezed configurations the trispectrum acquires the so-called local form, with a scale dependent amplitude that can get values of order $ \epsilon ({k_1}/{k_3})^2$. This amplitude can be larger than the prediction of the so-called Maldacena consistency relation by a factor $10^6$, and can reach the sensitivity of forthcoming observations, even for single-field inflationary models.

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