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Title: | Dequantization of the Dirac monopole |
Authors: | Brody, DC |
Keywords: | Magnetic monopole;Sheaf cohomology;Topological quantization;Spin structure;Dirac operator |
Issue Date: | 2009 |
Publisher: | The Royal Society |
Citation: | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 465(2110), 3047 - 3068, 2009 |
Abstract: | Using a sheaf-theoretic extension of conventional principal bundle theory, the Dirac monopole is formulated as a spherically symmetric model free of singularities outside the origin such that the charge may assume arbitrary real values. For integral charges, the construction effectively coincides with the usual model. Spin structures and Dirac operators are also generalized by the same technique. |
Description: | Copyright © 2009 The Royal Society. This is the author's final version of the article. The final publication is available from the link below. |
URI: | http://rspa.royalsocietypublishing.org/content/465/2110/3047 http://bura.brunel.ac.uk/handle/2438/8210 |
DOI: | http://dx.doi.org/10.1098/rspa.2009.0225 |
ISSN: | 1364-5021 |
Appears in Collections: | Publications Dept of Mathematics Research Papers Mathematical Sciences |
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