Subgroup Of Finite Renormalizations, Conserving The NSVZ Relation In $\mathcal{N} = 1$ SQED

TL;DR

This paper identifies a specific subgroup of renormalization transformations in $ =1$ SQED that preserve the exact NSVZ relation between the beta-function and anomalous dimensions across all perturbation orders.

Contribution

It introduces a subgroup of renormalization group transformations that exactly conserve the NSVZ relation in $ =1$ SQED at all perturbation levels.

Findings

Identified a subgroup of transformations preserving the NSVZ relation.

Demonstrated exact conservation of the relation in all orders.

Provides a framework for consistent renormalization in supersymmetric theories.

Abstract

In supersymmetric quantum electrodynamics there is the exact relation between the expressed through the unrenormalized coupling gauge beta-function and the anomalous dimension of matter superfields. In the present report we describe the subgroup of general renormalization group transformations, conserving this relation exactly in all orders of the perturbation theory in terms of the renormalized coupling constant.