Abstract
Abstract
Stochastic inflation can resolve strong inflationary perturbations, which seed primordial
black holes. I present a fast and accurate way to compute these perturbations in typical black
hole producing single-field models, treating the short-wavelength Fourier modes beyond the de
Sitter approximation. The squeezing and freezing of the modes reduces the problem to one
dimension, and the resulting new form of the stochastic equations, dubbed `constrained stochastic
inflation,' can be solved efficiently with semi-analytical techniques and numerical importance
sampling. In an example case, the perturbation distribution is resolved in seconds deep into its
non-Gaussian tail, a speed-up of factor 109 compared to a previous study. Along the way, I
comment on the role of the momentum constraint in stochastic inflation.
Subject
Astronomy and Astrophysics
Cited by
2 articles.
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