Vacuum photon emission and mean electromagnetic field in pair-creating external backgrounds
This paper develops a perturbative real-time framework using the Keldysh-Schwinger-Fradkin technique to derive the mean number density of emitted photons and the mean electromagnetic field in unstable QED vacua subjected to pair-creating external backgrounds, extending calculations up to second order in the fine-structure constant and verifying results through spectral decomposition and Schwinger-Dyson equations.