Dirac-like Monopoles in Three Dimensions and Their Possible Influences on the Dynamics of Particles

TL;DR

This paper explores Dirac-like monopoles in three-dimensional models, highlighting their scalar nature, differences in Minkowski and Euclidean spaces, and their effects on particles, including Lorentz-violating couplings and Aharonov-Casher analogues.

Contribution

It introduces a detailed analysis of three-dimensional Dirac-like monopoles, emphasizing their scalar properties and their influence on particles, including novel Lorentz-violating interactions.

Findings

Monopoles exhibit scalar characteristics in 3D models.

Differences arise between Minkowski and Euclidean space considerations.

Non-minimal Lorentz-violating couplings affect neutral fermions.

Abstract

Dirac-like monopoles are studied in three-dimensional Abelian Maxwell and Maxwell-Chern-Simons models. Their scalar nature is highlighted and discussed through a dimensional reduction of four-dimensional electrodynamics with electric and magnetic sources. Some general properties and similarities of them when are considered in Minkowski or Euclidian space are mentioned. However, by virtue of the structure of the space-time in which they are considered a number of differences among them take place. Furthermore, we pay attention to some consequences of these objects when acting upon usual particles. Among other subjects, special attention is given to the study of a Lorentz-violating non-minimal coupling between neutral fermions and the field generated by a monopole alone. In addition, an analogue of the Aharonov-Casher effect is discussed in this framework.