Dequantisation of the Dirac Monopole

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 generalised by the same technique.

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

References in corpus (3)

• Theoretical and Experimental Status of Magnetic Monopoles
• Unusual quantum states: nonlocality, entropy, Maxwell's daemon, and fractals
• Non-quantized Dirac monopoles and strings in the Berry phase of anisotropic spin systems