Worldline instantons for the momentum spectrum of Schwinger pair production in spacetime dependent fields

Gianluca Degli Esposti (Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstraße 400, 01328 Dresden, Germany) ; Greger Torgrimsson (Department of Physics, Umeå University, SE-901 87 Umeå, Sweden)

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 Lehmann-Symanzik-Zimmermann (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. 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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Published on:
27 March 2023
Publisher:
APS
Published in:
Physical Review D , Volume 107 (2023)
Issue 5
DOI:
https://doi.org/10.1103/PhysRevD.107.056019
arXiv:
2212.11578
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

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