Lechtenfeld, Olaf; Popov, Alexander D. Scattering of noncommutative solitons in \(2+1\) dimensions. (English) Zbl 0989.81065 Phys. Lett., B 523, No. 1-2, 178-184 (2001). Summary: Interactions of noncommutative solitons in a modified \(U(n)\) sigma model in \(2+1\) dimensions can be analyzed exactly. Using an extension of the dressing method, we construct explicit time-dependent solutions of its noncommutative field equation by iteratively solving linear equations. The approach is illustrated by presenting bound states and right-angle scattering configurations for two noncommutative solitons. Cited in 18 Documents MSC: 81T10 Model quantum field theories 35Q51 Soliton equations 81U05 \(2\)-body potential quantum scattering theory Keywords:\(U(n)\) sigma model; time-dependent field equation solutions; bound states; dressing method; right-angle scattering PDFBibTeX XMLCite \textit{O. Lechtenfeld} and \textit{A. D. Popov}, Phys. Lett., B 523, No. 1--2, 178--184 (2001; Zbl 0989.81065) Full Text: DOI arXiv References: [1] Nekrasov, N. A. [2] Harvey, J. A. [3] Douglas, M. R.; Nekrasov, N. A. [4] Konechny, A.; Schwarz, A. [5] Lechtenfeld, O.; Popov, A. D.; Spendig, B., Phys. Lett. B, 507, 317 (2001) · Zbl 0977.81120 [6] Lechtenfeld, O.; Popov, A. D.; Spendig, B., JHEP, 0106, 011 (2001) [7] Lechtenfeld, O.; Popov, A. D., JHEP in print [8] Zakharov, V. E.; Mikhailov, A. V., Sov. Phys. JETP, 47, 1017 (1978) [9] Zakharov, V. E.; Shabat, A. B., Funct. Anal. Appl., 13, 166 (1979) [10] Forgács, P.; Horváth, Z.; Palla, L., Nucl. Phys. B, 229, 77 (1983) [11] Uhlenbeck, K., J. Diff. Geom., 30, 1 (1989) [12] Babelon, O.; Bernard, D., Commun. Math. Phys., 149, 279 (1992) [13] Ward, R. S., Commun. Math. Phys., 128, 319 (1990) [14] Ivanova, T. A.; Lechtenfeld, O., Int. J. Mod. Phys. A, 16, 303 (2001) [15] Ward, R. S., Phys. Lett. A, 208, 203 (1995) · Zbl 1020.37537 [16] Ioannidou, T., J. Math. Phys., 37, 3422 (1996) [17] Ioannidou, T.; Zakrzewski, J., J. Math. Phys., 39, 2693 (1998) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.