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Recent Developments in Stochastic Inflation

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arxiv 2501.15843 v1 pith:YOWFDI7G submitted 2025-01-27 gr-qc astro-ph.COhep-th

R. P. Woodard This is my paper
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This article is dedicated to the memory of Alexei Starobinsky. I begin with some recollections of him and then review the generalization of his wonderful stochastic formalism from scalar potential models to theories which interact with fermions and photons, and finally to theories with derivative interactions such as nonlinear sigma models and gravity. This entails effective potentials generated by the usual field-dependent masses, as well as by field-dependent field strengths, and by field-dependent Hubble parameters. I also discuss secular loop corrections which cannot be captured by stochastic techniques.

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Cited by 5 Pith papers

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

  1. 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.

  2. An Unfinished Collaboration with A. A. Starobinsky

    gr-qc 2025-08 conditional novelty 6.0 of 10

    Quantum gravitational infrared fluctuations could make the rescaled spatial metric undergo Brownian motion on SL(3,R)/SO(3), producing exponential anisotropy and a quantum violation of cosmic no-hair.

  3. Leading Logarithm Quantum Gravity II

    gr-qc 2025-07 conditional novelty 6.0 of 10

    The paper derives the leading-logarithm equations of motion for pure quantum gravity in accelerating spacetimes, whose solutions are claimed to re-sum all perturbative leading logarithms to all orders.

  4. 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.

  5. Lectures on Open Systems and Cosmology

    hep-th 2026-07 unverdicted novelty 1.0 of 10

    A pedagogical review that presents the density-matrix/master-equation formalism and the Schwinger–Keldysh path integral in one notation and applies them to inflation; it claims no new result.

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