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Worldline instantons for the momentum spectrum of Schwinger pair production in space-time dependent fields

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arxiv 2212.11578 v1 pith:2RO7TSYL submitted 2022-12-22 hep-ph hep-th

Gianluca Degli Esposti , Greger Torgrimsson This is my paper · ORCID
classification hep-phhep-th
keywords spectrumfieldmethodmomentumworldlineactionapproximationcalculate
verification ladder T0 review T1 audit T2 compute T3 formal
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We show how to use the worldline-instanton formalism to calculate the momentum spectrum of the electron-positron pairs produced by an electric field that depends on both space and time. Using the LSZ reduction formula with a worldline representation for the propagator in a spacetime field, we make use of the saddle-point method to obtain a semiclassical approximation of the pair-production spectrum. In order to check the final result, we integrate the spectrum and compare with the results obtained using a previous instanton method for the imaginary part of the effective action.

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Cited by 2 Pith papers

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

  1. In-in worldline formalism in pair creating fields

    hep-th 2025-12 conditional novelty 6.0 of 10

    In-in observables in pair-creating QED backgrounds are re-expressed exactly as in-out matrix elements with a universal non-local insertion, yielding a first-quantized formula for the probability of producing N pairs.

  2. Pair production of massive charged vector bosons from the worldline

    hep-th 2025-07 conditional novelty 5.0 of 10

    A worldline path integral for a massive charged spin-1 particle reproduces the known one-loop Euler-Heisenberg-type Lagrangian and Schwinger pair production rate for vector bosons.

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