RG Equations and High Energy Behaviour in Non-Renormalizable Theories.
2019
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 amplitudeon 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 amplitudein the phi^4_D theory possesses the
Landau poleat high energy for any D. We discuss the application of the proposed procedure to other non-renormalizable theories.
-
Correction
-
Cite
-
Save
9
References
0
Citations
NaN
KQI