Quark color magnetic moment

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 $\mu =\left(\frac{g\hslash }{2mc}\right) \left(\frac{3{\alpha }_s}{4\pi }\right) \ln \left(\frac{\mathrm{gB}}{m^2}\right)$, 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.