  We examine the generalized quantum electrodynamics as a natural extension of
the Maxwell electrodynamics to cure the one-loop divergence. We establish a
precise scenario to discuss the underlying features between photon and fermion
where the perturbative Maxwell electrodynamics fails. Our quantum model
combines stability, unitarity, and gauge invariance as the central properties.
To interpret the quantum fluctuations without suffering from the physical
conflicts proved by Haag's theorem, we construct the covariant quantization in
the Heisenberg picture instead of the Interaction one. Furthermore, we discuss
the absence of anomalous magnetic moment and mass-shell singularity.
