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arXiv · 1101.4493

Trapping effects on inflation

Wolung Lee·Kin-Wang Ng·I-Chin Wang·Chun-Hsien Wu
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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.

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Wolung Lee, Kin-Wang Ng, I-Chin Wang, Chun-Hsien Wu. 2011-08-23. Trapping effects on inflation. https://doi.org/10.1103/physrevd.84.063527

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