Magnetic Monopole in the Loop Representation

Lorenzo Leal; Alexander Lopez

doi:10.1063/1.2162333

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arXiv · hep-th/0410258

Magnetic Monopole in the Loop Representation

Lorenzo Leal·Alexander Lopez

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Abstract

We quantize the electromagnetic field in the presence of a static magnetic monopole, within the loop-representation formalism. We find that the loop-dependent wave functional becomes multivalued, in the sense that it acquires a dependence on the surfaces bounded by the loop. This generalizes what occurs in quantum mechanics in multiply connected spaces. When Dirac's quantization condition holds, this surface-dependence disappears, together with the effect of the monopole on the electromagnetic field.

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Lorenzo Leal, Alexander Lopez. 2005-04-28. Magnetic Monopole in the Loop Representation. https://doi.org/10.1063/1.2162333

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