Constraints on a scale invariant power spectrum from superinflation in loop quantum cosmology

David J. Mulryne and Nelson J. Nunes
Phys. Rev. D 74, 083507 – Published 13 October 2006

Abstract

The computation of the spectrum of primordial perturbations, generated by a scalar field during the superinflationary phase of loop quantum cosmology, is revisited. The calculation is performed for two different cases. The first considers the dynamics of a massless field and it is found that scale invariance can only be achieved under a severe fine-tuning. The second assumes that the field evolves with a constant ratio between kinetic and potential energy, i.e. in a scaling solution. In this case, near scale invariance is a generic feature of the theory if the field rolls in a steep self-interaction potential.

  • Received 11 July 2006

DOI:https://doi.org/10.1103/PhysRevD.74.083507

©2006 American Physical Society

Authors & Affiliations

David J. Mulryne1,* and Nelson J. Nunes2,†

  • 1School of Mathematical Sciences, Queen Mary, University of London, Mile End Road, London E1 4NS, United Kingdom
  • 2School of Physics and Astronomy, University of Minnesota, 116 Church Street S.E., Minneapolis, Minnesota 55455, USA

  • *Electronic address: d.j.mulryne@qmul.ac.uk
  • Electronic address: nunes@physics.umn.edu

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Issue

Vol. 74, Iss. 8 — 15 October 2006

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