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arXiv · 1904.08690

RG Equations and High Energy Behaviour in Non-Renormalizable Theories

D. I. Kazakov
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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.

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D. I. Kazakov. 2019-04-18. RG Equations and High Energy Behaviour in Non-Renormalizable Theories. https://doi.org/10.1016/j.physletb.2019.134801

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