Q-lumps on a Domain Wall with a Spin-Orbit Interaction

TL;DR

This paper investigates how spin-orbit interactions affect Q-lump solutions on a domain wall within a 3+1-dimensional nonlinear sigma model, revealing interaction effects through perturbative analysis.

Contribution

It introduces the study of Q-lumps on a domain wall with spin-orbit interaction in 3+1 dimensions, analyzing their interactions using perturbation theory.

Findings

Interaction effects between Q-lumps are characterized.

Spin-orbit interaction influences Q-lump dynamics.

Perturbation theory and adiabatic approximation are effective tools.

Abstract

The nonlinear O(3) sigma-model in (2+1) dimensions with an additional potential term admits solutions called Q-lumps, having both topological and Noether charges. We consider in 3+1-dimensional spacetime the theory with Q-lumps on a domain wall in the presence of spin-orbit interaction in the bulk and find interaction effects for a two-particle solution through perturbation theory and adiabatic approximation.