Non-Gaussian features from the inverse volume corrections in loop quantum cosmology

Abstract

In this paper we study the non-Gaussian features of the primordial fluctuations in loop quantum cosmology with the inverse volume corrections. The detailed analysis is performed in the single field slow-roll inflationary models. However, our results reflect the universal characteristics of bispectrum in loop quantum cosmology. The main corrections to the scalar bispectrum come from two aspects: one is the modifications to the standard Bunch-Davies vacuum, the other is the corrections to the background dependent variables, such as slow-roll parameters. Our calculations show that the loop quantum corrections make $f_{\mathrm{NL}}$ of the inflationary models increase 0.1%. Moreover, we find that two new shapes arise, namely ${\mathcal{F}}_1$ and ${\mathcal{F}}_2$. The former gives a unique loop quantum feature which is less correlated with the local, equilateral and single types, while the latter is highly correlated with the local one.

matched to the published version. 30 pages, 4 figures

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• Probing loop quantum effects through solar system experiments: observational signatures and parameter constraints