Joint seminar of departments “Theory of Fundamental Interactions” and “Modern Mathematical Physics”

Date and Time: Wednesday, 23 December 2020, at 11:00 AM

Venue: online seminar on Zoom, Bogoliubov Laboratory of Theoretical Physics

Seminar topic: «Causal perturbative QED and space-time geometry»

Speaker: Jaroslaw Wawrzycki (BLTP & Institute of Nuclear Physics, Krakow)

Abstract:

We will briefly present Bogoliubov’s causal perturbative QFT, which includes only one refinement: the creation-annihilation operators at a point (for a specific momentum) are mathematically interpreted as the Hida operators from white noise analysis. We leave the rest of the theory completely unchanged. This allows avoiding infrared (and ultraviolet) divergences in the transition to the adiabatic limit for interacting fields. We will present the essence of the argument for this and some other results that can be achieved with this theory. For example, we present a charge—mass relation which can be proved within this theory, and the existence of the UV and IR asymptotics for interacting fields for various QED’s.

(Based on materials of the dissertation to obtain the degree of Doctor of Physics and Mathematics)