Well-separated soliton-antisoliton pairs with an adjoint Higgs field in 4D space

Abstract

We present single soliton states and soliton-antisoliton states with an adjoint Higgs field in 4D flat space. The action of a single soliton state diverges, while the action of soliton-antisoliton states converges. The interaction in a soliton-antisoliton state takes a logarithmic dependence on separation. Such soliton-antisoliton states exhibit stability under a scaling transformation.

Keywords

• Topological solitons
• Particle-antiparticle interactions