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

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

2002-04-22

arxiv.org/abs/hep-th/0204185v2

JHEP 0206 (2002) 055

Physics

High Energy Physics

High Energy Physics - Theory

v.2: two references added, minor corrections

Scientific paper

10.1088/1126-6708/2002/06/055

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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