Speaker
Description
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 study non-renormalizable interactions in various fields of modern theoretical physics: from elementary particle physics to cosmology.