On domain walls in a Ginzburg-Landau non-linear S^2-sigma model

Abstract

The domain wall solutions of a Ginzburg-Landau non-linear $S^2$-sigma hybrid model are unveiled. There are three types of basic topological walls and two types of degenerate families of composite - one topological, the other non-topological- walls. The domain wall solutions are identified as the finite action trajectories (in infinite time) of a related mechanical system that is Hamilton-Jacobi separable in sphero-conical coordinates. The physical and mathematical features of these domain walls are thoroughly discussed.

arXiv comment26 pages, 18 figures

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Cited by in corpus (7)

• Highly interactive kink solutions
• Two Species of Vortices in a massive Gauged Non-linear Sigma Model
• Quantum-induced interactions in the moduli space of degenerate BPS domain walls
• Domain walls in a non-linear ${\mathbb{S}}^2$-sigma model with homogeneous quartic polynomial potential
• Kinks in massive non-linear ${\mathbb{S}}^1\times {\mathbb{S}}^1$-Sigma models
• Orbits in the problem of two fixed centers on the sphere
• Topological and non-topological kink families in non-linear $({\mathbb{S}}^1\times {\mathbb{S}}^1)$-Sigma models