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

Abstract

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.

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

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• Non-Gaussianity in Loop Quantum Cosmology
• Pre-slow roll initial conditions: large scale power suppression and infrared aspects during inflation
• Primordial non-Gaussianity and power asymmetry with quantum gravitational effects in loop quantum cosmology
• An optimal estimator for resonance bispectra in the CMB
• Tensor to scalar ratio and large scale power suppression from pre-slow roll initial conditions
• Loop Quantum Cosmology
• Optimal CMB estimators for bispectra from excited states
• Symmetry Reduced Loop Quantum Gravity: A Bird's Eye View
• Model-Independent Signatures of New Physics in non-Gaussianity
• Creation of quantized particles, gravitons and scalar perturbations by the expanding universe
• Loop Quantum Gravity and the The Planck Regime of Cosmology