Gauge and emergent electromagnetic fields for moving magnetic topological solitons

TL;DR

This paper uses non-Abelian gauge theory to describe magnetic soliton excitations, revealing how gauge fields influence soliton and magnon dynamics in ferromagnets, thus deepening the understanding of field theory in condensed matter physics.

Contribution

It introduces a gauge field framework for magnetic solitons, providing explicit expressions for emergent electromagnetic fields and their impact on soliton-magnon interactions.

Findings

Derived simple expressions for emergent electromagnetic fields.

Showed gauge fields influence soliton and magnon dynamics.

Connected gauge theory with magnetic soliton behavior.

Abstract

We apply the general conception of non-Abelian gauge fields for description of magnetic soliton excitations. We show that the component of the gauge field along the soliton local magnetization (Abelian part of the gauge potential) determines dynamics of spin fluctuations over the soliton background in a ferromagnet. Assumption that the gauge field is a pure gauge allows calculating the gauge field components and finding simple expressions for the emergent electromagnet fields related to the soliton motion. The gauge field results in soliton-magnon interaction leading to renormalization of the soliton and magnon dynamics. The presented approach allows reaching more deep understanding of a relationship of the field theory and condensed matter magnetism.