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Paper   IPM / Astronomy / 16560
School of Astronomy
  Title:   Stochastic nonattractor inflation
1.  Hassan . Firouzjahi
2.  Amin . Nassiri-Rad
3.  Mahdiyar . Noorbala
  Status:   Published
  Journal: Phys. Rev. D
  Vol.:  102
  Year:  2020
  Supported by:            ipm IPM
We extend the formalism of stochastic inflation to the setup of nonattractor inflation with a sound speed . We obtain the Langevin equations for the superhorizon perturbations and calculate the stochastic corrections to curvature perturbation power spectrum. It is shown that the fractional stochastic corrections in mean number of e-folds and power spectrum are at the order of power spectrum. We also calculate the boundary crossing and the first hitting probabilities in a hypothetical dS space with two boundaries in field space. Furthermore, the stochastic corrections in power spectrum in a setup akin to eternal inflation with large diffusion term are calculated.

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