Resurgence in scalar and spinor QED: The Euler-Heisenberg Lagrangian in parallel field backgrounds
This paper presents the first systematic resurgent analysis of the Euler-Heisenberg Lagrangian in parallel electric and magnetic field backgrounds for both scalar and spinor QED, deriving explicit large-order asymptotic formulas and demonstrating that Padé-Borel resummation techniques can accurately reconstruct the complete non-perturbative instanton structure and Schwinger pair production effects from finite perturbative data.