Stable Kink-Kink and Metastable Kink-Antikink Solutions

Abstract

We construct and study two kink theories. One contains a static 2-kink configuration with controllable binding energy. The other contains a locally stable non-topological solution, which we call a lavion. The new models are 1D analogs of non-integrable systems in higher dimensions such as the Skyrme model and realistic vortex systems. To help construct the theories, we derive a simple expression for the interaction energy between two kinks.

References in corpus (6)

• Spectral Walls in Soliton Collisions
• Collective coordinate model of kink-antikink collisions in ${\varphi }^4$ theory
• Domain Walls with Non-Abelian Clouds
• BPS and non-BPS kinks in a massive non-linear S^2-sigma model
• Resonance mediated by fermions in kink-antikink collisions
• The Two-Loop ${\varphi }^4$ Kink Mass

Cited by in corpus (2)

• Quantum energies of solitons with different topological charges
• Topological and non-topological kink families in non-linear $({\mathbb{S}}^1\times {\mathbb{S}}^1)$-Sigma models