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High Energy Physics - Theory

arXiv:1101.4540 (hep-th)
[Submitted on 24 Jan 2011 (v1), last revised 2 Mar 2011 (this version, v2)]

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

Authors:Miklos Långvik, Tapio Salminen, Anca Tureanu
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Abstract: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.
Comments: 18 pages. Relation to relevant literature clarified in the conclusions, 6 references added
Subjects: High Energy Physics - Theory (hep-th)
Cite as: arXiv:1101.4540 [hep-th]
  (or arXiv:1101.4540v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1101.4540
Journal reference: Phys.Rev.D83:085006,2011
Related DOI: https://doi.org/10.1103/PhysRevD.83.085006

Submission history

From: Tapio Salminen [view email]
[v1] Mon, 24 Jan 2011 14:17:57 UTC (15 KB)
[v2] Wed, 2 Mar 2011 10:59:48 UTC (16 KB)
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