Bogoliubov's causal perturbative QFT with Hida operators

TL;DR

This paper introduces a formulation of Bogoliubov's causal perturbative quantum field theory using Hida operators, demonstrating key results like removal of infinities, existence of limits, and properties of charged particles in QED.

Contribution

It presents a novel approach by interpreting creation-annihilation operators as Hida operators within Bogoliubov's framework, enabling significant theoretical advancements in QFT.

Findings

Removal of UV and IR infinities in scattering operators

Existence of the adiabatic limit in QED

Charged particles have non-zero mass

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.