General approach to renormalization group equations in local quantum field theory
Seminars
Bogoliubov Laboratory of Theoretical Physics
Seminar of department “Theory of Fundamental Interactions”
Date and Time: Thursday, 6 November 2025, at 4:00 PM
Venue: Blokhintsev Conference Hall (4th floor), Bogoliubov Laboratory of Theoretical Physics, online on Zoom
Seminar topic: “General approach to renormalization group equations in local quantum field theory”
Speaker: Dmitry Kazakov
Authors: Dmitry Kazakov, Leonid Bork, Artur Borlakov, Vladislav Filippov, Ravil Iakhibbaev, Denis Tolkachev, Dmitry Vlasenko
Abstract:
The Bogoliubov-Parasiuk theorem guarantees locality of counter-terms in arbitrary local quantum field theory. This requirement provides obtaining equations, connecting leading and subleading ultraviolet divergences in every order of perturbation theory. The key feature of these equations is their universality: they are valid for any QFT regardless whether it is renormalizable or not. Thus, in a particular case, the generalized RG equations we have found reproduce the perturbative behaviour of renormalizable theories without direct referring to the multiplicative property. The general approach developed also allows us to studynon-renormalizable interactions in various fields of modern theoretical physics: from elementary particle physics to cosmology.
The report provides an overview of the results of the authors in connection with the JINR Award nomination.