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Bogoliubov's causal perturbative QFT with Hida operators

Published 11 Mar 2022 in math-ph and math.MP | (2203.06181v1)

Abstract: We will present the axioms of Bogoliubov's causal perturbative QFT in which the creation-annihilation operators are interpreted as Hida operators. We will shortly present the results that can be achieved in this theory: 1. Removal of UV and IR infinity in the scattering operator, 2. Existence of the adiabatic limit for interacting fields in QED, 3. Proof that charged particles have non-zero mass, 4. Existence of infrared and ultraviolet asymptotics for QED.

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