  When charged current weak interations are excluded, the neutral current weak
interaction is formally similar to ordinary electromagnetism with a massive
photon. In this spirit, the Maxwell equations for the fields of the Z-boson are
derived from the standard model. These describe the Z-boson scalar and vector
potentials, and the Z-boson electric and magnetic fields whose sources are
electron and neutrino distributions and currents. The Z-boson Maxwell equations
are solved for point sources representing classical point-like electrons and
neutrinos. The parity violation of the weak interation is manifest in the
structure of these solutions. As an application of this model, the neutral
current contribution to the muonium hyperfine structure is computed using
nonrelativistic perturbation theory.
