TL;DR
This paper introduces a kinematically dependent renormalization method applicable to any local quantum field theory, demonstrated on a D=8 supersymmetric gauge theory, offering a new perspective on non-renormalizable interactions.
Contribution
It proposes a novel renormalization approach where constants depend on kinematic variables, extending the BPHZ R-operation to non-renormalizable theories.
Findings
Renormalization constants become functions of kinematic variables.
The method is demonstrated on D=8 supersymmetric gauge theory.
Applicable to any local quantum field theory, renormalizable or not.
Abstract
We suggest a renewed view on non-renormalizable interactions treated perturbatively within a kinematically dependent renormalization procedure. It is based on the usual BPHZ R-operation which is equally applicable to any local QFT independently whether it is renormalizable or not. The key point is that the renormalization constant becomes the function of kinematical variables acting as an operator on the amplitude. The procedure is demonstrated by the example of D=8 supersymmetric gauge theory considered within the spinor helicity formalism.
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