Minimal modifications of the primordial power spectrum from an adiabatic short distance cutoff

Jens C. Niemeyer, Renaud Parentani, and David Campo
Phys. Rev. D 66, 083510 – Published 29 October 2002
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Abstract

As a simple model for unknown Planck scale physics, we assume that the quantum modes responsible for producing primordial curvature perturbations during inflation are placed in their instantaneous adiabatic vacuum when their proper momentum reaches a fixed high energy scale M. The resulting power spectrum is derived and presented in a form that exhibits the amplitude and frequency of the superimposed oscillations in terms of H/M and the slow roll parameter ε. The amplitude of the oscillations is proportional to the third power of H/M. We argue that these small oscillations give the lower bound of the modifications of the power spectrum if the notion of free mode propagation ceases to exist above the critical energy scale M.

  • Received 4 July 2002

DOI:https://doi.org/10.1103/PhysRevD.66.083510

©2002 American Physical Society

Authors & Affiliations

Jens C. Niemeyer*

  • Max-Planck-Institut für Astrophysik, Karl-Schwarzschild-Str. 1, D-85748 Garching, Germany

Renaud Parentani and David Campo

  • Laboratoire de Mathématiques et Physique Théorique, CNRS UMR 6083, Université de Tours, 37200 Tours, France

  • *Email address: jcn@mpa-garching.mpg.de
  • Email address: parenta@celfi.phys.univ-tours.fr
  • Email address: campo@celfi.phys.univ-tours.fr

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Vol. 66, Iss. 8 — 15 October 2002

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