Inflation with Stochastic Boundary

Abstract

We study the Brownian motion of a field where there are boundaries in the inflationary field space. Both the field and the boundary undergo Brownian motions with the amplitudes of the noises determined by the Hubble expansion rate of the corresponding dS spacetime. This setup mimics models of inflation in which curvature perturbation is induced from inhomogeneities generated at the surface of end of inflation. The cases of the drift dominated regime as well as the diffusion dominated regime are studied in details. We calculate the first hitting probabilities as well as the mean number of e-folds for the field to hit either of the boundaries in the field space. The implications for models of inflation are reviewed.

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Cited by in corpus (5)

• STOLAS: STOchastic LAttice Simulation of cosmic inflation
• Classicality of Stochastic Noise Away From Quasi-de Sitter Inflation
• Stochastic-tail of the curvature perturbation in hybrid inflation
• Deviations from Gaussian White Noise in Stochastic Inflation
• Calculating the power spectrum in stochastic inflation by Monte Carlo simulation and least squares curve fitting