Electromagnetic Interaction in the System of Multimonopoles and Vortex Rings

TL;DR

This paper investigates the electromagnetic interactions of monopole-antimonopole chains and vortex rings in SU(2) Yang-Mills-Higgs theory under external magnetic fields, revealing potential minima and structural insights.

Contribution

It introduces a novel analysis of static monopole and vortex ring solutions as electromagnetic systems influenced by external fields, highlighting their potential energy structure.

Findings

Existence of local minima in the effective electromagnetic potential.

Monopole-antimonopole chains and vortex rings behave as bounded electromagnetic systems.

External magnetic field parameter influences the structure of the static potential.

Abstract

Behavior of static axially symmetric monopole-antimonopole and vortex ring solutions of the SU(2) Yang-Mills-Higgs theory in an external uniform magnetic field is considered. It is argued that the axially symmetric monopole-antimonopole chains and vortex rings can be treated as a bounded electromagnetic system of the magnetic charges and the electric current rings. The magnitude of the external field is a parameter which may be used to test the structure of the static potential of the effective electromagnetic interaction between the monopoles with opposite orientation in the group space. It is shown that for a non-BPS solutions there is a local minimum of this potential.