Back to Search
Start Over
Bogoliubov's causal perturbative QED and white noise. Interacting fields.
- Source :
-
Theoretical & Mathematical Physics . Jun2022, Vol. 211 Issue 3, p775-816. 42p. - Publication Year :
- 2022
-
Abstract
- We present Bogoliubov's causal perturbative QFT with a single refinement: the creation–annihilation operators at a point, i.e., for a specific momentum, are mathematically interpreted as the Hida operators from the 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 present the existence proof for the adiabatic limit for interacting fields in causal QED with Hida operators. This limit exists if and only if the normalization in the Epstein–Glaser splitting of the causal distributions, in the construction of the scattering operator, is "natural,", which eliminates the arbitrariness in choosing the splitting that makes the theory definite, with its predictive power considerably strengthened. We present the example of a charge–mass relation that can be proved within this theory and is confirmed experimentally. [ABSTRACT FROM AUTHOR]
- Subjects :
- *WHITE noise theory
*WHITE noise
*INTEGRAL operators
Subjects
Details
- Language :
- English
- ISSN :
- 00405779
- Volume :
- 211
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Theoretical & Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 157613643
- Full Text :
- https://doi.org/10.1134/S0040577922060034