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

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

2002-06-17

arxiv.org/abs/hep-th/0206149v2

Phys.Rev.D66:083510,2002

Physics

High Energy Physics

High Energy Physics - Theory

10 pages; matches version accepted by PRD

Scientific paper

10.1103/PhysRevD.66.083510

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 epsilon. 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.

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