Dequantisation of the Dirac Monopole

Details Dequantisation of the Dirac Monopole Dequantisation of the Dirac Monopole

2009-04-27

arxiv.org/abs/0904.4220v2

Proc. R. Soc. A 8 October 2009 vol. 465 no. 2110 3047-3068

Physics

High Energy Physics

High Energy Physics - Theory

22 pages. Version to appear in Proc. R. Soc. London A

Scientific paper

10.1098/rspa.2009.0225

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 generalised by the same technique.

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