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Stochastic inflation from quantum field theory and the parametric dependence of the effective noise amplitude

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arxiv 2111.14503 v2 pith:LSRHZ3D3 submitted 2021-11-29 hep-ph

classification hep-ph
keywords stochasticeffectivenoiseamplitudecosmologicaldynamicsevolutionfield
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The non-linear dynamics of long-wavelength cosmological fluctuations may be phrased in terms of an effective classical, but stochastic evolution equation. The stochastic noise represents short-wavelength modes that continually redshift into the long-wavelength domain. The effective evolution may be derived from first principles quantum field theory in an expanding background, through a sequence of approximations calling for additional scrutiny. We perform such an analysis, putting particular emphasis on the amplitude of the stochastic noise, which ultimately determines the cosmological correlations and provides a non-perturbative IR regulator to the dynamics.

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Cited by 3 Pith papers

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

  1. Stochastic inflation from a non-equilibrium renormalization group

    hep-th 2026-05 unverdicted novelty 7.0 of 10

    Stochastic inflation is the leading infrared limit of a coarse-grained Schwinger–Keldysh effective theory, and the same Fokker–Planck dynamics follows from a Polchinski-type renormalization-group flow for the reduced ...

  2. Renormalisation and matching of massless scalar correlation functions in Soft de Sitter Effective Theory

    hep-th 2026-03 conditional novelty 6.0 of 10

    SdSET is shown to renormalise and match like a flat-space EFT: tree-level trispectrum and six-point matching plus a one-loop power-spectrum match determine the SdSET couplings and initial-condition functions.

  3. Stochastic inflation as an open quantum system

    hep-th 2025-07 conditional novelty 6.0 of 10

    Stochastic inflation emerges from an open-quantum-system derivation, with a Lindblad master equation that reduces to and corrects Starobinsky's Fokker-Planck equation.

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