Local field-interaction approach to the Dirac monopole

TL;DR

This paper presents a local field interaction framework for Dirac monopoles, distinguishing two physically different types and exploring their properties, phases, and related electromagnetic phenomena.

Contribution

It introduces a novel local field interaction approach that differentiates monopole types and analyzes their physical characteristics and phase relationships.

Findings

Identifies two physically distinct monopole types.

Describes a phase factor difference of $(-1)^n$ between monopoles.

Provides insights into monopole interactions and electromagnetic dualities.

Abstract

We introduce the local field interaction approach to Dirac magnetic monopoles. Our analysis reveals two physically different types of a monopole. The first type is free of singularity, and the field angular momentum plays an essential role in the interaction. The second type is described as an endpoint of an invisible semi-infinite flux tube (a Dirac string). Notably, a different phase factor $(-1)^n$ exists between the two types where $n$ is the quantum number of the field angular momentum. Our study provides a realistic description of the two types of monopoles. Various aspects of these monopoles are discussed, including the Maxwell dual of the Dirac string, exchange symmetry, and an analogy to the Coriolis interaction.