Soliton-Antisoliton Scattering Configurations in a Noncommutative Sigma Model in 2+1 Dimensions
نویسنده
چکیده
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 angle scattering. Further we discuss the head-on collision of one U(2) soliton with two antisolitons. This results in a 60 angle scattering.
منابع مشابه
Noncommutative Multi-Solitons in 2+1 Dimensions
The study of noncommutative solitons is greatly facilitated if the field equations are integrable, i.e. result from a linear system. For the example of a modified but integrable U(n) sigma model in 2+1 dimensions we employ the dressing method to construct explicit multi-soliton configurations on noncommutative R. These solutions, abelian and nonabelian, feature exact time-dependence for any val...
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