Motion of a Particle with Isospin in the Presence of a Monopole

TL;DR

This paper studies the relativistic motion of particles with isospin interacting with monopoles and dyons, revealing unbounded and conical asymptotic trajectories similar to electromagnetic cases.

Contribution

It provides a consistent expression for the quadriforce and analyzes particle trajectories in monopole and dyon fields, highlighting novel motion behaviors.

Findings

Unbounded motion along certain trajectories

Asymptotic trajectories confined to conical surfaces

Behavior analogous to electromagnetic interactions

Abstract

From a consistent expression for the quadriforce describing the interaction between a coloured particle and gauge fields, we investigate the relativistic motion of a particle with isospin interacting with a BPS monopole and with a Julia-Zee dyon. The analysis of such systems reveals the existence of unidimensional unbounded motion and asymptotic trajectories restricted to conical surfaces, which resembles the equivalent case of Electromagnetism.