Gluon-field contribution in QCD sum rules for the magnetic moments of the nucleons

Abstract

The Wilson coefficient corresponding to the gluon-field strength $G_{\mu \nu }$ $G^{\mu \nu }$ is evaluated for the nucleon current correlation function in the presence of a static external electromagnetic field, using a regulator mass Λ to separate the high-momentum part of the Feynman diagrams. The magnetic-moment sum rules are analyzed by two different methods and the sensitivity of the results to variations in Λ are discussed.