Factorization of integrals, defining the beta-function, into integrals of total derivatives in N=1 SQED, regularized by higher derivatives

TL;DR

This paper demonstrates that in N=1 supersymmetric electrodynamics, the beta-function can be expressed as integrals of total derivatives when using higher derivative regularization, providing a qualitative all-orders explanation.

Contribution

It introduces a method to factorize integrals defining the beta-function into total derivatives in N=1 SQED with higher derivative regularization, revealing a new structural insight.

Findings

Beta-function expressed as integrals of total derivatives

Qualitative explanation valid for all orders

Applicable to N=1 supersymmetric electrodynamics

Abstract

Some calculations in supersymmetric theories, made with the higher derivative regularization, show that the beta-function is given by integrals of total derivatives. This is qualitatively explained for the N=1 supersymmetric electrodynamics in all orders.