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. 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.

References in corpus (8)

• Theory and phenomenology of two-Higgs-doublet models
• Instantons in QCD
• A Monopole-Antimonopole Solution of the SU(2) Yang-Mills-Higgs Model
• (Giant) Vortex - (anti) vortex interaction in bulk superconductors: The Ginzburg-Landau theory
• Monopole-antimonopole Interaction Potential
• Dynamics of Confined Monopoles and Similarities with Confined Quarks
• Numerical Study of the Lowest Energy Configurations for Global String-Antistring Pairs
• Complex vortex-antivortex dynamics in the magnetic superconductor EuFe${}_2$(As${}_{0.7}$P${}_{0.3}$)${}_2$