QED in external fields, a functional point of view
Jean Alexandre
TL;DR
This paper develops a functional PDE approach to analyze QED in external electromagnetic fields, deriving non-perturbative gauge dependence of key propagators and vertices.
Contribution
It introduces a functional PDE framework for QED in external fields, enabling non-perturbative analysis of gauge dependence and propagator evolution.
Findings
Derived a functional PDE for the proper graphs generating functional.
Established non-perturbative gauge dependence of fermion propagator and vertex.
Described evolution of proper graphs with external field amplitude.
Abstract
A functional partial differential equation is set for the proper graphs generating functional of QED in external electromagnetic fields. This equation leads to the evolution of the proper graphs with the external field amplitude and the external field gauge dependence of the complete fermion propagator and vertex is derived non-perturbativally.
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