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  Observational test of inflation in loop quantum cosmology

Bojowald, M., Calcagni, G., & Tsujikawa, S. (2011). Observational test of inflation in loop quantum cosmology. Journal of Cosmology and Astroparticle Physics, 11: 046. doi:10.1088/1475-7516/2011/11/046.

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1107.1540 (Preprint), 379KB
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 Creators:
Bojowald, Martin, Author
Calcagni, Gianluca1, Author           
Tsujikawa, Shinji, Author
Affiliations:
1Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_67201              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,Astrophysics, Cosmology and Extragalactic Astrophysics, astro-ph.CO,High Energy Physics - Theory, hep-th
 Abstract: We study in detail the power spectra of scalar and tensor perturbations generated during inflation in loop quantum cosmology (LQC). After clarifying in a novel quantitative way how inverse-volume corrections arise in inhomogeneous settings, we show that they can generate large running spectral indices, which generally lead to an enhancement of power at large scales. We provide explicit formulas for the scalar/tensor power spectra under the slow-roll approximation, by taking into account corrections of order higher than the runnings. We place observational bounds on the inverse-volume quantum correction \delta ~ a^{- \sigma} (\sigma >0, $a$ is the scale factor) and the slow-roll parameter \epsilon_V for power-law potentials as well as exponential potentials by using the data of WMAP 7yr combined with other observations. We derive the constraints on \delta for two pivot wavenumbers k_0 for several values of \delta. The quadratic potential can be compatible with the data even in the presence of the LQC corrections, but the quartic potential is in tension with observations. We also find that the upper bounds on \delta (k_0) for given \sigma and k_0 are insensitive to the choice of the inflaton potentials.

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 Dates: 2011-07-072011
 Publication Status: Issued
 Pages: 1+36 pages, 6 figures, 1 table
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1107.1540
DOI: 10.1088/1475-7516/2011/11/046
 Degree: -

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Title: Journal of Cosmology and Astroparticle Physics
Source Genre: Journal
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Publ. Info: Bristol, England : Institute of Physics Pub.
Pages: - Volume / Issue: 11 Sequence Number: 046 Start / End Page: - Identifier: ISSN: 1475-7516
CoNE: https://pure.mpg.de/cone/journals/resource/111055183238000_1