Some properties of the integrable noncommutative sine-Gordon system

Details Some properties of the integrable noncommutative sine-Gordon system Some properties of the integrable noncommutative sine-Gordon system

2003-10-23

arxiv.org/abs/hep-th/0310214v3

JHEP 0404 (2004) 057

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 3 figures, LaTeX file. Some references added. One figure changed and comments added in conclusion

Scientific paper

10.1088/1126-6708/2004/04/057

In this paper we continue the program, initiated in Ref. hep-th/0112246, to investigate an integrable noncommutative version of the sine-Gordon model. We discuss the origin of the extra constraint which the field function has to satisfy in order to guarantee classical integrability. We show that the system of constraint plus dynamical equation of motion can be obtained by a suitable reduction of a noncommutative version of 4d self-dual Yang-Mills theory. The field equations can be derived from an action which is the sum of two WZNW actions with cosine potentials corresponding to a complexified noncommutative U(1) gauge group. A brief discussion of the relation with the bosonized noncommutative Thirring model is given. In spite of integrability we show that the S-matrix is acasual and particle production takes place.

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