English

Nonassociativity, Dirac monopoles and Aharonov-Bohm effect

High Energy Physics - Theory 2012-11-15 v2 Mesoscale and Nanoscale Physics Quantum 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.

Keywords

Cite

@article{arxiv.hep-th/0503034,
  title  = {Nonassociativity, Dirac monopoles and Aharonov-Bohm effect},
  author = {Alexander I. Nesterov},
  journal= {arXiv preprint arXiv:hep-th/0503034},
  year   = {2012}
}

Comments

Revised version. Typos corrected. References added

R2 v1 2026-07-22T15:28:57.823Z