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

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

2010-09-03

arxiv.org/abs/1009.0617v1

JHEP 1008:111,2010

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, 18 figures

Scientific paper

10.1007/JHEP08(2010)111

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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