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Amplitude of Perturbations from Inflation

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arxiv hep-th/0702216 v2 pith:PH5LWQEW submitted 2007-02-27 hep-th

classification hep-th
keywords spectrumamplitudepowercorrectionhubbleinflationduringfunction
verification ladder T0 review T1 audit T2 compute T3 formal
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The observed power spectrum of the cosmic microwave background (CMB) is consistent with inflationary cosmology, which predicts a nearly scale-invariant power spectrum of quantum fluctuations of the inflaton field as they exit the Hubble horizon during inflation. Here we report a very significant correction (of several orders of magnitude) to the predicted amplitude of the power spectrum. This correction does not alter the near scale-invariance of the spectrum, but is crucial for testing predictions of the Hubble parameter during inflation against the observed amplitude of the CMB power spectrum. This novel correction appears because, as we show, the subtractions that renormalize the short-wavelength ultraviolet divergences of the inflaton two-point function have a significant effect on the amplitude of that two-point function at the longer wavelengths characteristic of the Hubble horizon. Earlier conclusions in the literature that certain theories (such as grand unified theories) implied perturbations that were too large by several orders of magnitude will have to be reconsidered in light of the present result.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Primary gravitational waves at high frequencies II: Emergence of the exponential cut-off in the power spectrum

    astro-ph.CO 2026-05 conditional novelty 7.0 of 10

    For infinitely differentiable effective potentials describing the post-inflation transition, the regularized power spectrum of primary gravitational waves exhibits exponential suppression at small scales.

  2. Renormalization effects fade away during inflation

    hep-th 2026-06 unverdicted novelty 5.0 of 10

    Inflation dynamically suppresses the renormalization sector, rendering the observable primordial spectrum insensitive to renormalization ambiguities.

  3. Primary gravitational waves at high frequencies I: Origin of suppression in the power spectrum

    astro-ph.CO 2025-12 unverdicted novelty 5.0 of 10

    Adiabatic regularization combined with smoothed transitions suppresses the high-frequency oscillations in the power spectrum of primary gravitational waves about a zero mean.

  4. Vacuum Polarization, Geodesic Equation and Sachs-Wolfe Effect

    astro-ph.CO 2025-02 conditional novelty 4.0 of 10

    Charged-scalar vacuum polarization makes photon paths timelike and yields frequency-dependent Sachs-Wolfe corrections, giving a CMB mu-distortion and power-spectrum modifications whose size depends on the scalar mass ...

  5. The Cosmological Constant Problem: An Accessible Introduction

    gr-qc 2026-06 unverdicted

    Pedagogical review illustrating vacuum energy calculations for a scalar field and explaining the persistent cosmological constant mismatch plus conceptual issues in expanding universes.

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