Ivan Agullo, Jose Navarro-Salas, Leonard Parker
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 $\tau_{NL}$ that can
reach 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 be well above the sensitivity of forthcoming observations, even
for single-field inflationary models.
View original:
http://arxiv.org/abs/1112.1581
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