Meron solutions of the sigma model and singular harmonic maps |
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Authors: | G Ghika M Visinescu |
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Institution: | 1. Department of Fundamental Physics, Institute for Physics and Nuclear Engineering, Magurele, P.O. Box MG 6, Bucharest, Romania
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Abstract: | We study the meron solutions of theO(3) sigma model in two-dimensions using the singular harmonic maps. We find new solutions of the topological charge (the Brouwer degree) zero having one dimensional singularities of the fold and collapse types. In general any singularity of a solution of the sigma model is locally equivalent with one of the four types of singular points of a harmonic map. |
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