Topological Excitation in Skyrme Theory

TL;DR

This paper explores topological excitations such as knotted vortex lines and monopoles in Skyrme theory using advanced topological methods, analyzing their evolution and interactions.

Contribution

It introduces a novel application of $ ext{phi}$-mapping and gauge potential decomposition to study topological structures in Skyrme theory, including their dynamic branch processes.

Findings

Identification of knotted vortex lines and monopoles in Skyrme theory

Analysis of monopole branch processes like splitting, merging, and intersection

Application of topological current theory to monopole evolution

Abstract

Based on the $\phi$-mapping topological current theory and the decomposition of gauge potential theory, we investigate knotted vortex lines and monopoles in Skyrme theory and simply discuss the branch processes (splitting, merging and intersection) during the evolution of the monopoles.