Derivation of the exact expression for the D function in N=1 SQCD

M. A. Shifman, K. V. Stepanyantz

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Abstract

We discuss various details of our derivation of the exact expression for the Adler D function in N=1 supersymmetric QCD. This exact formula relates the D function to anomalous dimensions of the matter superfields. Our perturbative derivation refers to the D function defined in terms of the bare coupling constant in the case of using the higher covariant derivative regularization. The exact expression for this function is obtained by direct summation of supergraphs to all orders in the non-Abelian coupling constant. As we argued previously, our formula should be valid beyond perturbation theory too. The perturbative result we present here coincides with the general formula order by order. We discuss consequences for N=1 supersymmetric QCD in the conformal window. It is noted that our exact relation can allow one to determine the (infrared) critical anomalous dimension of the Seiberg M field present in the dual theory.

Original languageEnglish (US)
Article number105008
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume91
Issue number10
DOIs
StatePublished - May 11 2015

Bibliographical note

Publisher Copyright:
© 2015 American Physical Society.

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