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We present the Bogoliubov's causal perturbative QFT, which includes only onerefinement: the creation-annihilation operators at a point, \emph{i.e.} for aspecific momentum, are mathematically interpreted as the Hida operators fromthe white noise analysis. We leave the rest of the theory completely unchanged.This allows avoiding infrared -- and ultraviolet -- divergences in thetransition to the adiabatic limit for interacting fields. We present here theanalysis of the causal axioms for the scattering operator with the Hidaoperators as the creation-annihilation operators.

Causal perturbative QED and white noise