RG Equations and High Energy Behaviour in Non-Renormalizable Theories
High Energy Physics - Theory
2019-07-31 v1
Abstract
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 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.
Keywords
Cite
@article{arxiv.1904.08690,
title = {RG Equations and High Energy Behaviour in Non-Renormalizable Theories},
author = {D. I. Kazakov},
journal= {arXiv preprint arXiv:1904.08690},
year = {2019}
}
Comments
9 pages, 2 figures, pdflatex