Nonassociativity, Dirac monopoles and Aharonov-Bohm effect

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Revised version. Typos corrected. References added

Scientific paper

10.1142/S0219887807002259

The Aharonov-Bohm (AB) effect for the singular string associated with the Dirac monopole carrying an arbitrary magnetic charge is studied. It is shown that the emerging difficulties in explanation of the AB effect may be removed by introducing nonassociative path-dependent wave functions. This provides the absence of the AB effect for the Dirac string of magnetic monopole with an arbitrary magnetic charge.

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