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arXiv · hep-th/0307036

Planar Skyrmions at high and low density

R. S. Ward
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Abstract

The O(3) Skyrme system in two space dimensions admits topological soliton solutions. This paper studies the transition between the high-density crystalline phase of such solitons and the low-density phase where there are multi-Skyrmions localized in space. The details depend crucially on the choice of the potential function. Two such choices are investigated: in the first system, multi-Skyrmions at low density form a ring; while in the second, there is an explicit crystal solution, and the preferred low-density configurations are chunks of this crystal. The second system is a particularly good analogue of three-dimensional Skyrmions.

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R. S. Ward. 2004-02-25. Planar Skyrmions at high and low density. https://doi.org/10.1088/0951-7715%2F17%2F3%2F014

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