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Small noise expansion of stochastic inflation

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arxiv 2410.17987 v2 pith:CG4AK6DV submitted 2024-10-23 astro-ph.CO gr-qc

Diego Cruces , Cristiano Germani , Amin Nassiri-Rad , Masahide Yamaguchi This is my paper
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By introducing the small noise expansion techniques, we show that the fully nonlinear (non-Markovian) stochastic inflationary system, may be re-cast in terms of an infinite set of Wiener processes (stochastic equations with white noises). As a byproduct, we show that the Starobinsky test field approximation might only provide information about the linear regime of cosmological perturbations and scalar-feld non-Gaussianities might only appear at leading order in slow-roll parameters.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Nonlinear Lattice Framework for Inflation: Bridging stochastic inflation and the $\delta{N}$ formalism

    gr-qc 2026-04 unverdicted novelty 8.0 of 10

    A shear-free locally FLRW lattice framework for single-field inflation captures spatially varying expansion, curvature corrections, and nonlinear δN observables at a fraction of the cost of full numerical relativity.

  2. Confronting infrared divergences in de Sitter: loops, logarithms and the stochastic formalism

    hep-th 2025-07 conditional novelty 7.0 of 10

    The authors show that loop corrections do not alter tree-level time dependence in de Sitter correlators, so secular growth is a regularization artifact, not a physical effect.

  3. Deviations from Gaussian White Noise in Stochastic Inflation

    gr-qc 2025-12 conditional novelty 6.0 of 10

    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.

  4. $\delta n$ formalism: A new formulation for the probability density of the curvature perturbation

    astro-ph.CO 2025-05 conditional novelty 5.0 of 10

    A reformulation of the δN formalism that counts e-folds forward and exploits the superhorizon correlation between field and velocity to express the curvature perturbation PDF as a one-dimensional change of variables.

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