Oct 6 – 10, 2025
EIMI
Europe/Moscow timezone

Multipurpose Renormalization Group as a consequence of locality of QFT

Oct 6, 2025, 10:45 AM
35m
Plenary talk Section A: Mathematical methods in QFT Plenary Session

Speaker

Dmitry Kazakov (JINR)

Description

R-operation and locality of QFT guarantees locality of the counterterms in coordinate space or at most polinomiality in momentum space. This leads to relations between the counterterms in subsequent orders of perturbation theory. In its turn these relations allow one to get the recurrent relations which can be promoted to RG equations for the leading, subleading, etc logarithms. Remarkably that the RG equations in sub, subsub, etc orders are always linear differential ones.
The advocated formalism works equally well in renormalizable and non-renormalizable theories.
Different examples are presented.

Author

Presentation materials