Coarse-Grained Back Reaction in Single Scalar Field Driven Inflation

Abstract

We introduce a self-consistent stochastic coarse-graining method, which includes both metric and scalar field fluctuations, to investigate the back reaction of long wavelength perturbations in single-scalar driven inflation, up to the second (one loop) order. We demonstrate that, although back reaction cannot be significant during the last 70 e-foldings of inflation with a smooth potential, there exist non-smooth inflaton potentials which allow significant back reaction, and are also consistent with cosmological observations. Such non-smooth potentials may lead to the generation of massive primordial black holes, which could be further used to constrain/verify these models.

6 pages, 1 figure

References in corpus (5)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Inflation
• Primordial Black Holes as Dark Matter: The Power Spectrum and Evaporation of Early Structures
• Dark energy from backreaction
• The End of the MACHO Era: Limits on Halo Dark Matter from Stellar Halo Wide Binaries
• Energy-Momentum Tensor of Cosmological Fluctuations during Inflation

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• Backreaction and Stochastic Effects in Single Field Inflation
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• Graviton backreaction on the local cosmological expansion in slow-roll inflation
• Synchronous coordinates and gauge-invariant observables in cosmological spacetimes