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The Stokes Phenomenon and Schwinger Vacuum Pair Production in Time-Dependent Laser Pulses

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arxiv 1004.2509 v2 pith:ZAD6HW6X submitted 2010-04-14 hep-th hep-phquant-ph

Cesim K. Dumlu , Gerald V. Dunne This is my paper · ORCID
classification hep-thhep-phquant-ph
keywords phenomenonproductionstokestime-dependentbackgroundcomputedelectricfields
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Particle production due to external fields (electric, chromo-electric or gravitational) requires evolving an initial state through an interaction with a time-dependent background, with the rate being computed from a Bogoliubov transformation between the in and out vacua. When the background fields have temporal profiles with sub-structure, a semiclassical analysis of this problem confronts the full subtlety of the Stokes phenomenon: WKB solutions are only local, while the production rate requires global information. Incorporating the Stokes phenomenon, we give a simple quantitative explanation of the recently computed [Phys. Rev. Lett. 102, 150404 (2009)] oscillatory momentum spectrum of e+e- pairs produced from vacuum subjected to a time-dependent electric field with sub-cycle laser pulse structure. This approach also explains naturally why for spinor and scalar QED these oscillations are out of phase.

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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. Schwinger pair production in spacetime fields: Moir\'e patterns, Aharonov-Bohm phases and Sturm-Liouville eigenvalues

    hep-ph 2024-12 conditional novelty 7.0 of 10

    Two spacetime-separated electric pulses generically produce interference in the pair-production momentum spectrum when they are parallel, unlike time-dependent pulses, and can create 2D moiré patterns in the electron-...

  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. Introductory Lectures on Resurgence: CERN Summer School 2024

    hep-th 2025-11 unverdicted novelty 2.0 of 10

    Introductory lectures cover resurgent asymptotics using examples like the Airy function, nonlinear Stokes phenomenon, Heisenberg-Euler action, and resurgent continuation.

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