Observational test of inflation in loop quantum cosmology

Martin Bojowald*, Gianluca Calcagni, Shinji Tsujikawa

*この研究の対応する著者

研究成果: Article査読

68 被引用数 (Scopus)

抄録

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 formulæ for the scalar/tensor power spectra under the slow-roll approximation, by taking into account corrections of order higher than the runnings. Via a standard analysis, we place observational bounds on the inverse-volume quantum correction δa (σ > 0, a is the scale factor) and the slow-roll parameter 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 δ for two pivot wavenumbers k0 for several values of δ. 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 δ(k0) for given σ and k0 are insensitive to the choice of the inflaton potentials.

本文言語English
論文番号046
ジャーナルJournal of Cosmology and Astroparticle Physics
2011
11
DOI
出版ステータスPublished - 2011 11月
外部発表はい

ASJC Scopus subject areas

  • 天文学と天体物理学

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