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The exact WKB for cosmological particle production

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arxiv 2010.14835 v2 pith:G5FATLR7 submitted 2020-10-28 hep-ph astro-ph.COhep-th

classification hep-phastro-ph.COhep-th
keywords classicalcosmologicalparticleproductionscatteringcalculationcorrespondingequation
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The Bogoliubov transformation in cosmological particle production can be explained by the Stokes phenomena of the corresponding ordinary differential equation. The calculation becomes very simple as far as the solution is described by a special function. Otherwise, the calculation requires more tactics, where the Exact WKB (EWKB) may be a powerful tool. Using the EWKB, we discuss cosmological particle production focusing on the effect of more general interaction and classical scattering. The classical scattering appears when the corresponding scattering problem of the Schr\"odinger equation develops classical turning points on the trajectory. The higher process of fermionic preheating is also discussed using the Landau-Zener model.

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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. Exact WKB in all sectors II: Potentials with non-degenerate saddles

    hep-th 2025-11 conditional novelty 7.0 of 10

    For generic one-dimensional potentials, the exact spectrum decomposes into as many trans-series sectors as there are distinct local-minimum energy levels, with continuous transitions across barrier tops and discontinu...

  2. More on scattering processes of dressed particles with a time-dependent mass

    hep-th 2024-11 conditional novelty 6.0 of 10

    An exact calculation shows that a scalar with a localized, time-dependent mass can decay into lighter particles through a kinematically forbidden channel, producing exponentially more daughters than parents.

  3. Gravitational Dark Matter Production in Supergravity $\alpha$-Attractor Inflation

    hep-ph 2024-11 conditional novelty 6.0 of 10

    Supergravity corrections in α-attractor inflation suppress gravitational dark matter production and shift the required reheating temperature to 10^3-10^7 GeV.

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