Everlasting interaction: resolution of the mystery of the Landau pole

We study interacting electromagnetic fields in the framework of effective QED action, implementing the everlasting nature of the photon interaction with electron-positron loop fluctuations in the vacuum state. We develop a polarization summation based on the requirement that the always-interacting (dressed) photons are the asymptotic states. We show that as result the interaction-picture-based Schwinger-Dyson summation is extended in the strong coupling limit to a continuous fraction, for which there is no Landau pole.