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Scattering of noncommutative solitons in \(2+1\) dimensions. (English) Zbl 0989.81065

Summary: Interactions of noncommutative solitons in a modified \(U(n)\) sigma model in \(2+1\) dimensions can be analyzed exactly. Using an extension of the dressing method, we construct explicit time-dependent solutions of its noncommutative field equation by iteratively solving linear equations. The approach is illustrated by presenting bound states and right-angle scattering configurations for two noncommutative solitons.

MSC:

81T10 Model quantum field theories
35Q51 Soliton equations
81U05 \(2\)-body potential quantum scattering theory
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References:

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