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arXiv · 1009.0617

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

Alberto Alonso-Izquierdo·Miguel Angel Gonzalez Leon·Juan Mateos Guilarte·Marina de la Torre Mayado
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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.

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Alberto Alonso-Izquierdo, Miguel Angel Gonzalez Leon, Juan Mateos Guilarte, Marina de la Torre Mayado. 2010-09-03. On domain walls in a Ginzburg-Landau non-linear S^2-sigma model. https://doi.org/10.1007/jhep08(2010)111

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