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arXiv · hep-th/0409108

Noncommutative Sine-Gordon Model

Olaf Lechtenfeld
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Abstract

As I briefly review, the sine-Gordon model may be obtained by dimensional and algebraic reduction from 2+2 dimensional self-dual U(2) Yang-Mills through a 2+1 dimensional integrable U(2) sigma model. I argue that the noncommutative (Moyal) deformation of this procedure should relax the algebraic reduction from U(2)->U(1) to U(2)->U(1)xU(1). The result are novel noncommutative sine-Gordon equations for a pair of scalar fields. The dressing method is outlined for constructing its multi-soliton solutions. Finally, I look at tree-level amplitudes to demonstrate that this model possesses a factorizable and causal S-matrix in spite of its time-space noncommutativity.

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Olaf Lechtenfeld. 2004-09-09. Noncommutative Sine-Gordon Model. https://doi.org/10.1002/prop.200410210

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