Li-Fang Li, Rong-Gen Cai, Zong-Kuan Guo, Bin Hu
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.
View original:
http://arxiv.org/abs/1112.2785
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