7-11 October 2019
Facultad de Ciencias Físicas, Universidad Complutense de Madrid
Europe/Madrid timezone

RG Equations and High Energy Behaviour in Non-Renormalizable Theories

9 Oct 2019, 10:50
35m
Aula M2 (Facultad de Ciencias Físicas, Universidad Complutense de Madrid)

Aula M2

Facultad de Ciencias Físicas, Universidad Complutense de Madrid

Plaza de Ciencias, 1 Ciudad Universitaria 28040 Madrid, Spain

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)

Presentation Materials

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