Magnetic Monopole in the Loop Representation

Details Magnetic Monopole in the Loop Representation Magnetic Monopole in the Loop Representation

2004-10-26

arxiv.org/abs/hep-th/0410258v3

J.Math.Phys. 47 (2006) 012305

Physics

High Energy Physics

High Energy Physics - Theory

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Scientific paper

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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