English

Bogoliubov's causal perturbative QFT with Hida operators

Mathematical Physics 2022-10-26 v1 math.MP

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.

Cite

@article{arxiv.2203.06181,
  title  = {Bogoliubov's causal perturbative QFT with Hida operators},
  author = {Jaroslaw Wawrzycki},
  journal= {arXiv preprint arXiv:2203.06181},
  year   = {2022}
}

Comments

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

R2 v1 2026-06-24T10:10:28.486Z