Noncommutative Sine-Gordon Model |
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Authors: | Olaf Lechtenfeld |
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Institution: | (1) Institut für Theoretische Physik, Universität Hannover, Appelstrasse 2, D-30167 Hannover, Germany |
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Abstract: | 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. It is argued that the noncommutative (Moyal) deformation of this procedure should relax the algebraic reduction from U(2) U(1) to U(2) U(1) × U(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, the tree-level amplitudes demonstrate that this model possesses a factorizable and causal S-matrix in spite of its time-space noncommutativity. |
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Keywords: | noncommutative field theory integrable systems |
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