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The hand-made tail: Non-perturbative tails from multifield inflation

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arxiv 2112.14712 v1 pith:S3L5XM4Q submitted 2021-12-29 hep-th astro-ph.CO

classification hep-thastro-ph.CO
keywords fluctuationsinflationprimordialtailscurvatureeffectsfieldmulti-field
verification ladder T0 review T1 audit T2 compute T3 formal
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It is becoming increasingly clear that large but rare fluctuations of the primordial curvature field, controlled by the tail of its probability distribution, could have dramatic effects on the current structure of the universe -- {\it e.g.} via primordial black-holes. However, the use of standard perturbation theory to study the evolution of fluctuations during inflation fails in providing a reliable description of how non-linear interactions induce non-Gaussian tails. Here, we use the stochastic inflation formalism to study the non-perturbative effects from multi-field fluctuations on the statistical properties of the primordial curvature field. Starting from the effective action describing multi-field fluctuations, we compute the joint probability density function and show that enhanced non-Gaussian tails are a generic feature of slow-roll inflation with additional degrees of freedom.

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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. Pushing the Primordial Frontier: Exact Linear Solutions in Multifield Inflation

    astro-ph.CO 2026-06 unverdicted novelty 8.0 of 10

    Exact analytic solutions for coupled linear perturbations in two-field inflation provide a closed-form primordial power spectrum that interpolates weak, strong, light, and heavy field regimes.

  2. 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 ...

  3. 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.

  4. Stochastic inflation as a superfluid

    gr-qc 2025-06 conditional novelty 6.0 of 10

    Inflationary superhorizon fluctuations obey superfluid-type continuity and Euler equations, with quantum pressure becoming relevant in ultra-slow-roll phases.

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