Schwinger pair production from Padé-Borel reconstruction

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 Padé approximants, as advocated in a recent work by Costin and Dunne, J. Phys. A52, 445205 (2019).

arXiv comment5 pages, 5 figures. V2: added a reference, corrected typos. Corresponds to the published version

References in corpus (12)

• Lectures on non-perturbative effects in large N gauge theories, matrix models and strings
• A Primer on Resurgent Transseries and Their Asymptotics
• Uniform WKB, Multi-instantons, and Resurgent Trans-Series
• Numerical analytic continuation of Euclidean data
• Deconstructing zero: resurgence, supersymmetry and complex saddles
• Resurgence in complex Chern-Simons theory
• $\lambda {\varphi }^4$ Theory I: The Symmetric Phase Beyond NNNNNNNNLO
• Resurgent Extrapolation: Rebuilding a Function from Asymptotic Data. Painleve I
• Three-loop Correction to the Instanton Density. I. The Quartic Double Well Potential
• $\lambda {\varphi }^4$ Theory II: The Broken Phase Beyond NNNN(NNNN)LO
• Transmutation of a Trans-series: The Gross-Witten-Wadia Phase Transition
• Convergence from Divergence

Cited by in corpus (12)

• Advances in QED with intense background fields
• Resummation of quantum radiation reaction in plane waves
• On the Higher Loop Euler-Heisenberg Trans-Series Structure
• Conformal mapping of the Borel plane: going beyond perturbative QCD
• Nonlinear trident in the high-energy limit: Nonlocality, Coulomb field and resummations
• Reduction of order, resummation and radiation reaction
• Resummation of quantum radiation reaction and induced polarization
• Gibbs entropy from entanglement in electric quenches
• Nonlinear photon trident versus double Compton scattering and resummation of one-step terms
• Resurgence of the Effective Action in Inhomogeneous Fields
• Reduction of Order and Transseries Structure of Radiation Reaction
• Resurgence in the Scalar Quantum Electrodynamics Euler-Heisenberg Lagrangian