  We present the Bogoliubov's causal perturbative QFT, which includes only one
refinement: the creation-annihilation operators at a point, i.e. for a specific
momentum, are mathematically interpreted as the Hida operators from the white
noise analysis. We leave the rest of the theory completely unchanged. This
allows avoiding infrared -- and ultraviolet -- divergences in the transition to
the adiabatic limit for interacting fields. We present here existence proof of
the adiabatic limit for interacting fields in causal QED with Hida operators.
This limit exists if and only if the normalization in the Epstein-Glaser
splitting of the causal distributions, in the construction of the scattering
operator, is "natural", and thus eliminates arbitrariness in the choice of the
splitting making the theory definite, with its predictive power considerably
strengthened. For example, we present a charge-mass relation which can be
proved within this theory, and which is confirmed experimentally.
