Massive dual gauge field and confinement in Minkowski space : Magnetic charge

TL;DR

This paper investigates magnetic monopoles and their duals in SU(2) gauge theory, deriving massive Lagrangians and demonstrating how an additional term leads to a linear potential, relevant for understanding confinement.

Contribution

It introduces a relation between monopole and dual fields, derives their massive Lagrangians, and shows the necessity of an extra term for confinement in Minkowski space.

Findings

Derived massive Lagrangians for monopole and dual fields.

Identified an additional term essential for linear potential.

Demonstrated confinement mechanism via monopole-antimonopole potential.

Abstract

Gauge field configuration for a magnetic monopole and its dual configuration are studied in SU(2) gauge theory. We present a relation between the monopole field and its dual field. Since these fields can become massive, their massive Lagrangians are derived. In the dual case, an additional term appears. We show this term is necessary to produce a linear potential between a monopole charge and an antimonopole charge.