Trapping effects on inflation

Abstract

We develop a Lagrangian approach based on the influence functional method so as to derive self-consistently the Langevin equation for the inflaton field in the presence of trapping points along the inflaton trajectory. The Langevin equation exhibits the backreaction and the fluctuation-dissipation relation of the trapping. The fluctuation is induced by a multiplicative colored noise that can be identified as the the particle number density fluctuations and the dissipation is a new effect that may play a role in the trapping with a strong coupling. In the weak coupling regime, we calculate the power spectrum of the noise-driven inflaton fluctuations for a single trapping point and studied its variation with the trapping location. We also consider a case with closely spaced trapping points and find that the resulting power spectrum is blue.

13 pages, 2 figures

References in corpus (5)

• Trapped Inflation
• Cosmological Fluctuations from Infra-Red Cascading During Inflation
• Inflation models after WMAP year three
• Possible Constraints on the Duration of Inflationary Expansion from Quantum Stress Tensor Fluctuations
• Quantum Stress Tensor Fluctuations of a Conformal Field and Inflationary Cosmology

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