On the Dirac monopole's concept

TL;DR

This paper examines the Dirac monopole within Quantum Electrodynamics, revealing that its existence implies gauge invariance violation and associating a mass with the monopole field, offering new interpretative insights.

Contribution

It demonstrates that the Dirac monopole's existence leads to gauge invariance violation and characterizes its field as longitudinal with an inherent mass, providing a novel perspective.

Findings

Monopole existence implies gauge invariance violation

Monopole field is longitudinal and massive

Provides interpretation for non-zero monopole charge

Abstract

The Dirac monopole is discussed in view of the gauge invariance in Quantum Electrodynamics. It is shown the monopole existence implies the violation of the gauge invariance principle. The monopole field is essentially a longitudinal field and so a mass is naturally associated to it. Interpretation for the case the monopole charge is different from zero is addressed at the conclusion.