Magnetic monopoles may be properly introduced in a Lorentz- and $CPT$-violating electrodynamics in $(3+1)\mathrm{D}$ whenever it is accompanied by the induction of an additional electric current, whose strength is proportional to the breaking parameter, $({\kappa }_{AF}{)}_{\mu }$. The reduced model is similar to the Maxwell-Chern-Simons model in $(2+1)\mathrm{D}$, with a Dirac-like object, so that in this case the mass parameter appears quantized. In addition, the electromagnetic force experienced by a magnetic pole bears an extra term, depending on $({\kappa }_{AF}{)}_{\mu }$, in comparison to its counterpart acting upon an electric charge.

• Received 5 March 2007

DOI:https://doi.org/10.1103/PhysRevD.76.027701