Bogoliubov's causal perturbative QFT with Hida operators

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.

Presented at the International Conference "Selected Topics in Mathematical Physics'', held at Steklov Mathematical Institute, September 27-30; 29 pages. arXiv admin note: text overlap with arXiv:2203.05854, arXiv:2203.05884