Quantum Electrodynamics on background external fields

TL;DR

This paper develops a framework for quantum electrodynamics in strong, possibly time-dependent external fields using local quantum physics methods, constructing non-linear observables and analyzing Dirac operator parametrices.

Contribution

It introduces a formulation of QED in external fields that handles arbitrarily strong and time-dependent backgrounds, focusing on local observables and Dirac operator analysis.

Findings

Formulation of QED with strong, time-dependent external fields.

Construction of local non-linear observables.

Investigation of Dirac operator parametrices.

Abstract

The quantum electrodynamics in presence of background external fields is developed. Modern methods of local quantum physics allow to formulate the theory on arbitrarily strong possibly time-dependent external fields. Non-linear observables which depend only locally on the external field are constructed. The tools necessary for this formulation, the parametrices of the Dirac operator, are investigated.