# V RUSSIAN-IBERIAN CONGRESS: Particle, Nuclear, Astroparticle Physics and Cosmology

7-11 October 2019

## RG Equations and High Energy Behaviour in Non-Renormalizable Theories

9 Oct 2019, 10:50
35m

### Speaker

Prof. Dmitry Kazakov (JINR)

### Description

We suggest a novel view on non-renormalizable interactions. It is based on the usual BPHZ R-operation which is equally applicable to any local QFT independently of whether it is renormalizable or not. As a playground we take the \phi^4_D theory in D dimensions for D=4,6,8,10 and consider the four-point scattering amplitude on shell. We derive the generalized RG equation and find the solution valid for any $D$ that sums up the leading logarithms in all orders of PT in full analogy with the renormalizable case. It is found that the scattering amplitude in the \phi^4_D theory possesses the Landau pole at high energy for any D. We discuss the application of the proposed procedure to other non-renormalizable theories.

### Primary author

Prof. Dmitry Kazakov (JINR)