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

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

2011-12-13

arxiv.org/abs/1112.2785v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

30 pages, 4 figures

Scientific paper

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 $f_{{\rm NL}}$ 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.

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