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

TL;DR

This paper investigates soliton-antisoliton pairs with an adjoint Higgs field in four-dimensional space, revealing their existence, stability, and interaction characteristics, despite the divergence of single soliton actions.

Contribution

It introduces the existence and properties of soliton-antisoliton states with an adjoint Higgs field in 4D space, highlighting their stability and interaction behavior.

Findings

Single soliton action diverges, while soliton-antisoliton action converges.

Soliton-antisoliton interaction depends logarithmically on separation.

Soliton-antisoliton states are stable under scaling transformations.

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. This means such solitons can exist in soliton-antisoliton states, although they cannot exist individually. The interaction in a soliton-antisoliton state takes a logarithmic dependence on separation. Such soliton-antisoliton states exhibit stability under a scaling transformation.