Nonassociativity, Dirac monopoles and Aharonov-Bohm effect

TL;DR

This paper investigates the Aharonov-Bohm effect in the context of Dirac monopoles with arbitrary magnetic charge, proposing nonassociative wave functions to resolve related conceptual difficulties.

Contribution

It introduces nonassociative path-dependent wave functions to eliminate the Aharonov-Bohm effect for Dirac monopoles with any magnetic charge, addressing a key theoretical challenge.

Findings

Nonassociative wave functions remove AB effect for arbitrary magnetic charges.

The approach resolves difficulties in explaining the AB effect in monopole scenarios.

The method generalizes the understanding of gauge effects in monopole physics.

Abstract

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.