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

Li-Fang Li, Rong-Gen Cai, Zong-Kuan Guo, and Bin Hu
Phys. Rev. D 86, 044020 – Published 14 August 2012

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, and the other is the corrections to the background dependent variables, such as slow-roll parameters. Our calculations show that the loop quantum corrections make fNL of the inflationary models increase 0.1%. Moreover, we find that two new shapes of non-Gaussian signal arise, which we name F1 and F2. 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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  • Received 20 December 2011

DOI:https://doi.org/10.1103/PhysRevD.86.044020

© 2012 American Physical Society

Authors & Affiliations

Li-Fang Li1,*, Rong-Gen Cai1,†, Zong-Kuan Guo1,‡, and Bin Hu2,§

  • 1State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, Beijing 100190, China
  • 2INFN, Sezione di Padova, via Marzolo 8, I-35131 Padova, Italy

  • *lilf@itp.ac.cn
  • cairg@itp.ac.cn
  • guozk@itp.ac.cn
  • §hubinitp@gmail.com

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Vol. 86, Iss. 4 — 15 August 2012

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