Magnetic Monopole in Noncommutative Space-Time and Wu-Yang Singularity-Free Gauge Transformations

Details Magnetic Monopole in Noncommutative Space-Time and Wu-Yang Singularity-Free Gauge Transformations Magnetic Monopole in Noncommutative Space-Time and Wu-Yang Singularity-Free Gauge Transformations

2011-01-24

arxiv.org/abs/1101.4540v2

Phys.Rev.D83:085006,2011

Physics

High Energy Physics

High Energy Physics - Theory

18 pages. Relation to relevant literature clarified in the conclusions, 6 references added

Scientific paper

10.1103/PhysRevD.83.085006

We investigate the validity of the Dirac Quantization Condition (DQC) for magnetic monopoles in noncommutative space-time. We use an approach which is based on an extension of the method introduced by Wu and Yang. To study the effects of noncommutativity of space-time, we consider the gauge transformations of $U_\star(1)$ gauge fields and use the corresponding deformed Maxwell's equations. Using a perturbation expansion in the noncommutativity parameter $\theta$, we show that the DQC remains unmodified up to the first order in the expansion parameter. The result is obtained for a class of noncommutative source terms, which reduce to the Dirac delta function in the commutative limit.

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