Soliton-Antisoliton Scattering Configurations in a Noncommutative Sigma Model in 2+1 Dimensions | Zendy

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Soliton-Antisoliton Scattering Configurations in a Noncommutative Sigma Model in 2+1 Dimensions

Author(s) -

Martin Wolf

Publication year - 2002

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 - 10.1088/1126-6708/2002/06/055

Subject(s) - noncommutative geometry , soliton , scattering , sigma , physics , extension (predicate logic) , sigma model , collision , mathematical physics , quantum mechanics , mathematics , nonlinear system , computer science , programming language , computer security

In this paper we study the noncommutative extension of a modified U(n) sigmamodel in 2+1 dimensions. Using the method of dressing transformations, aniterative approach for the construction of solutions from a given seedsolution, we demonstrate the construction of multi-soliton andsoliton-antisoliton configurations for general n. As illustrative examples wediscuss U(3) solitons and consider the head-on collision of a U(2) soliton andan antisoliton explicitly, which will result in a 90^{\text{o}} anglescattering. Further we discuss the head-on collision of one U(2) soliton withtwo antisolitons. This results in a 60^{\text{o}} angle scattering.Comment: v.2: two references added, minor correction

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