Schwinger pair production from Pad\'e-Borel reconstruction

TL;DR

This paper demonstrates how limited weak-field expansion data can be used to accurately reconstruct the electron-positron pair production rate in strong electric fields through Padé-Borel resummation techniques.

Contribution

It introduces a method to reconstruct pair-production rates from partial weak-field data using Padé-Borel summation, extending previous approaches.

Findings

Successful reconstruction of pair-production rate from limited data

Validation of Padé-Borel method for quantum field theory applications

Potential for improved predictions in strong-field QED

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).