Scattering of Noncommutative Solitons in 2+1 Dimensions

Abstract

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.

1+10 pages; v2: 2 typos fixed, refs updated; v3: typos (signs, coefficients) corrected

References in corpus (2)

• Noncommutative Solitons in Open N=2 String Theory
• Open N=2 strings in a B-field background and noncommutative self-dual Yang-Mills

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• Comments on Noncommutative Sigma Models
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• Discrete Nonlocal Waves
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• The noncommutative sine-Gordon breather
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• Noncommutative Nonlinear Sigma Models and Integrability
• Exact BPS bound for noncommutative baby Skyrmions
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