Abstract
The quark color magnetic moment is examined in the framework of the interaction of a quark with a constant external color magnetic field. Quark and gluon propagators in the external field are evaluated and shown to lead to a field-dependent anomalous magnetic moment $\ensuremath{\mu}=(\frac{g\ensuremath{\hbar}}{2mc}) (\frac{3{\ensuremath{\alpha}}_{s}}{4\ensuremath{\pi}}) \mathrm{ln}(\frac{\mathrm{gB}}{{m}^{2}})$, where $B$ is the external field strength. Comparison is made with the behavior of the electron anomalous magnetic moment in strong fields. Possible phenomenological consequences for hadron mass splittings are discussed.
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