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Inflation with Stochastic Boundary

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arxiv 2208.08229 v1 pith:M2WDMCJZ submitted 2022-08-17 hep-th astro-ph.COgr-qc

Inflation with Stochastic Boundary

classification hep-th astro-ph.COgr-qc
keywords fieldinflationboundariesboundarybrowniandominatedmodelsregime
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 1 Pith paper

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  1. Deviations from Gaussian White Noise in Stochastic Inflation

    gr-qc 2025-12 conditional novelty 6.0

    Relaxing the sharp cutoff or the Bunch-Davies initial state in stochastic inflation makes the noise colored, and relaxing the initial state also makes it non-Gaussian.