English

Schwinger pair production from Pad\'e-Borel reconstruction

High Energy Physics - Theory 2020-06-30 v2

Abstract

In this work, we show how the knowledge of the first few terms of the Euler-Heisenberg Lagrangian's weak-field expansion in a magnetic field background is enough to reconstruct the pair-production rate in a strong electric field background. To this end, we study its associated truncated Borel sum using Pad\'e approximants, as advocated in a recent work by Costin and Dunne, J. Phys. A52, 445205 (2019).

Keywords

Cite

@article{arxiv.1911.03489,
  title  = {Schwinger pair production from Pad\'e-Borel reconstruction},
  author = {Adrien Florio},
  journal= {arXiv preprint arXiv:1911.03489},
  year   = {2020}
}

Comments

5 pages, 5 figures. V2: added a reference, corrected typos. Corresponds to the published version

R2 v1 2026-06-23T12:09:48.249Z