Noncommutative multi-solitons in 2+1 dimensions | Zendy

Olaf Lechtenfeld | Zendy; Alexander D. Popov | Zendy

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Noncommutative multi-solitons in 2+1 dimensions

Author(s) -

Olaf Lechtenfeld,

Alexander D. Popov

Publication year - 2001

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2001/11/040

Subject(s) - noncommutative geometry , integrable system , factorization , soliton , mathematical physics , physics , sigma model , abelian group , field (mathematics) , sigma , pure mathematics , mathematics , quantum mechanics , nonlinear system , algorithm

The study of noncommutative solitons is greatly facilitated if the fieldequations are integrable, i.e. result from a linear system. For the example ofa modified but integrable U(n) sigma model in 2+1 dimensions we employ thedressing method to construct explicit multi-soliton configurations onnoncommutative R^{2,1}. These solutions, abelian and nonabelian, feature exacttime-dependence for any value of the noncommutativity parameter theta anddescribe various lumps of finite energy in relative motion. We discuss theirscattering properties and prove asymptotic factorization for large times.Comment: 1+24 pages, no figures; v2: minor corrections, two references added; v3: typos correcte

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