Interaction of Noncommutative Plane Waves in 2+1 Dimensions
Stig Bieling
TL;DR
This paper investigates the interaction of extended waves in a noncommutative 2+1 dimensional U(2) sigma model, constructing explicit solutions and analyzing wave scattering and large-time behavior.
Contribution
It introduces an explicit two-wave solution in a noncommutative field theory using the dressing method and examines wave scattering and asymptotic factorization.
Findings
Explicit two-wave solution constructed
Wave scattering behavior analyzed
Large-time factorization demonstrated
Abstract
In this paper the interaction of extended waves in a noncommutative modified 2+1 dimensional U(2) sigma model are studied. Using the dressing method, we construct an explicit two-wave solution of the noncommutative field equation. The scattering of these waves and large time factorization are discussed.
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