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 nonzero mass, (4) existence of infrared and ultraviolet asymptotics for QED.
- Publication:
-
International Journal of Modern Physics A
- Pub Date:
- July 2022
- DOI:
- 10.1142/S0217751X22430242
- arXiv:
- arXiv:2203.06181
- Bibcode:
- 2022IJMPA..3743024W
- Keywords:
-
- Scattering operator;
- causal perturbative method in QFT;
- interacting fields;
- white noise;
- Hida operators;
- integral kernel operators;
- Fock expansion;
- Mathematical Physics
- E-Print:
- Presented at the International Conference "Selected Topics in Mathematical Physics'', held at Steklov Mathematical Institute, September 27-30