Noncommutative Multi-Solitons in 2+1 Dimensions

Details Noncommutative Multi-Solitons in 2+1 Dimensions Noncommutative Multi-Solitons in 2+1 Dimensions

2001-06-24

arxiv.org/abs/hep-th/0106213v3

JHEP 0111:040,2001

Physics

High Energy Physics

High Energy Physics - Theory

1+24 pages, no figures; v2: minor corrections, two references added; v3: typos corrected

Scientific paper

10.1088/1126-6708/2001/11/040

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^{2,1}. These solutions, abelian and nonabelian, feature exact time-dependence for any value of the noncommutativity parameter theta and describe various lumps of finite energy in relative motion. We discuss their scattering properties and prove asymptotic factorization for large times.

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