Gauge and emergent electromagnetic fields for moving magnetic topological solitons

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.