Exact Adler Function in Supersymmetric QCD

TL;DR

This paper derives an exact formula for the Adler function in supersymmetric QCD, linking it to the anomalous dimension of matter superfields and proving the absence of singlet contributions.

Contribution

It provides the first exact expression for the Adler function in supersymmetric QCD and proves the cancellation of singlet contributions.

Findings

Exact formula relating D(Q^2) to (_s(Q^2))

Proof of absence of singlet contributions in the Adler function

Cancellation of singlet contributions in supergraph sums

Abstract

The Adler function D is found {\em exactly} in supersymmetric QCD. Our exact formula relates D(Q^2) to the anomalous dimension of the matter superfields \gamma (\alpha_s(Q^2)). En rout we prove another theorem: the absence of the so-called singlet contribution to D. While such singlet contributions are present in individual supergraphs, they cancel in the sum.