The Dirac quantization condition (DQC) for magnetic monopoles in noncommutative space-time is analyzed. For this a noncommutative generalization of the method introduced by Wu and Yang is considered; the effects of noncommutativity are analyzed using the Seiberg-Witten map and the corresponding deformed Maxwell’s equations are discussed. By using a perturbation expansion in the noncommutativity parameter $\mathrm{<ruby><rb>\theta </rb><rt>しーた</rt></ruby>}$, we show first that the DQC remains unmodified up to the first and second order. This result is then generalized to all orders in the expansion parameter for a class of noncommutative electric currents induced by the Seiberg-Witten map; these currents reduce to the Dirac delta function in the commutative limit.

• Received 17 September 2016

DOI:https://doi.org/10.1103/PhysRevD.94.105024