Nonperturbative Solutions in the Standard Model Theories

— The review presents several applications to the study of a systematic approach based on the method of Bogolyubov compensation equations to the exploration of nonperturbative processes of quantum field theory (QFT). This approach is applied both in quantum chromodynamics (QCD) (meson physics, runni...

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Bibliographic Details
Published in:Physics of particles and nuclei 2024-04, Vol.55 (2), p.189-232
Main Authors: Arbuzov, B. A., Zaitsev, I. V.
Format: Article
Language:English
Subjects:
Particle and Nuclear Physics
Physics
Physics and Astronomy
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Summary:— The review presents several applications to the study of a systematic approach based on the method of Bogolyubov compensation equations to the exploration of nonperturbative processes of quantum field theory (QFT). This approach is applied both in quantum chromodynamics (QCD) (meson physics, running QCD coupling), and in the electroweak sector also, where one succeeds in describing actually obtained and potentially available deviations from the Standard Model predictions for the LHC experiments. Also we demonstrate the possibility of the resolution in the same framework of such basic QFT problems as scale hierarchy or obtaining numerical values of fundamental constants without introducing arbitrary or nonverifiable assumptions.
ISSN:1063-7796
1531-8559
DOI:10.1134/S1063779624020023