Primordial power spectra for scalar perturbations in loop quantum cosmology

Daniel Martín De Blas, Javier Olmedo

Research output: Contribution to journalArticlepeer-review

34 Citations (Scopus)


We provide the power spectrum of small scalar perturbations propagating in an inflationary scenario within loop quantum cosmology. We consider the hybrid quantization approach applied to a Friedmann-Robertson-Walker spacetime with flat spatial sections coupled to a massive scalar field. We study the quantum dynamics of scalar perturbations on an effective background within this hybrid approach. We consider in our study adiabatic states of different orders. For them, we find that the hybrid quantization is in good agreement with the predictions of the dressed metric approach. We also propose an initial vacuum state for the perturbations, and compute the primordial and the anisotropy power spectrum in order to qualitatively compare with the current observations of Planck mission. We find that our vacuum state is in good agreement with them, showing a suppression of the power spectrum for large scale anisotropies. We compare with other choices already studied in the literature.

Original languageEnglish
Article number029
JournalJournal of Cosmology and Astroparticle Physics
Issue number6
Publication statusPublished - 14 Jun 2016
Externally publishedYes


  • cosmological perturbation theory
  • ination
  • quantum cosmology
  • quantum field theory on curved space

ASJC Scopus subject areas

  • Astronomy and Astrophysics


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