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Soliton-Antisoliton Scattering Configurations in a Noncommutative Sigma Model in 2+1 Dimensions

Martin Wolf
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Abstract

In this paper we study the noncommutative extension of a modified U(n) sigma model in 2+1 dimensions. Using the method of dressing transformations, an iterative approach for the construction of solutions from a given seed solution, we demonstrate the construction of multi-soliton and soliton-antisoliton configurations for general n. As illustrative examples we discuss U(3) solitons and consider the head-on collision of a U(2) soliton and an antisoliton explicitly, which will result in a 90^{\text{o}} angle scattering. Further we discuss the head-on collision of one U(2) soliton with two antisolitons. This results in a 60^{\text{o}} angle scattering.

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Martin Wolf. 2002-07-08. Soliton-Antisoliton Scattering Configurations in a Noncommutative Sigma Model in 2+1 Dimensions. https://doi.org/10.1088/1126-6708%2F2002%2F06%2F055

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