English

Three-cocycles, Nonassociative Gauge Transformations and Dirac's Monopole

High Energy Physics - Theory 2013-01-15 v3 Mathematical Physics Group Theory math.MP Quantum Physics

Abstract

The relation between 3-cocycles arising in the Dirac monopole problem and nonassociative gauge transformations is studied. It is shown that nonassociative extension of the group U(1) allows to obtain a consistent theory of pointlike magnetic monopole with an arbitrary magnetic charge.

Keywords

Cite

@article{arxiv.hep-th/0406073,
  title  = {Three-cocycles, Nonassociative Gauge Transformations and Dirac's Monopole},
  author = {Alexander I Nesterov},
  journal= {arXiv preprint arXiv:hep-th/0406073},
  year   = {2013}
}

Comments

Typos removed. To appear in Physics Letters A

R2 v1 2026-07-22T15:23:54.952Z