Resurgence Analysis of Euler-Heisenberg Lagrangian in QED
Physics#Quantum Electrodynamics, Resurgence Theory, Euler-Heisenberg Lagrangian🔬 Research|Analyzed: Jan 3, 2026 19:36•
Published: Dec 28, 2025 04:37
•1 min read
•ArXivAnalysis
This paper provides a comprehensive resurgent analysis of the Euler-Heisenberg Lagrangian in both scalar and spinor quantum electrodynamics (QED) for the most general constant background field configuration. It's significant because it extends the understanding of non-perturbative physics and strong-field phenomena beyond the simpler single-field cases, revealing a richer structure in the Borel plane and providing a robust analytic framework for exploring these complex systems. The use of resurgent techniques allows for the reconstruction of non-perturbative information from perturbative data, which is crucial for understanding phenomena like Schwinger pair production.
Key Takeaways
- •Presents the first systematic resurgent analysis of the Euler-Heisenberg Lagrangian in two-field QED.
- •Derives large-order asymptotic formulas for weak-field coefficients, revealing complex interplay between electric and magnetic contributions.
- •Demonstrates the reconstruction of non-perturbative information (instanton structure) from perturbative data using Borel dispersion techniques.
- •Employs Padè-Borel and Padè-Conformal-Borel resummation schemes to reconstruct the effective Lagrangian.
- •Shows significant improvement in reconstruction accuracy for the spinor case using conformal improvement.
Reference / Citation
View Original"The paper derives explicit large-order asymptotic formulas for the weak-field coefficients, revealing a nontrivial interplay between alternating and non-alternating factorial growth, governed by distinct structures associated with electric and magnetic contributions."