Noncommutative Dirac quantization condition using the Seiberg-Witten map
High Energy Physics - Theory
2016-12-07 v1
Abstract
We investigate the validity of the Dirac quantization condition (DQC) for magnetic monopoles in noncommutative space-time. We use an approach based on an extension of the method introduced by Wu and Yang; the effects of noncommutativity are analyzed using the Seiberg-Witten map and the corresponding deformed Maxwell's equations are discussed. By means of a perturbation expansion in the noncommutativity parameter , 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.
Cite
@article{arxiv.1609.02499,
title = {Noncommutative Dirac quantization condition using the Seiberg-Witten map},
author = {Marco Maceda and Daniel Martínez-Carbajal},
journal= {arXiv preprint arXiv:1609.02499},
year = {2016}
}
Comments
12 pages