Lax pair and Darboux transformation of noncommutative U(N) principal chiral model

Details Lax pair and Darboux transformation of noncommutative U(N) principal chiral model Lax pair and Darboux transformation of noncommutative U(N) principal chiral model

2006-09-19

arxiv.org/abs/hep-th/0609127v2

J.Phys.A39:11683-11696,2006

Physics

High Energy Physics

High Energy Physics - Theory

1+20 pages

Scientific paper

10.1088/0305-4470/39/37/021

We present a noncommutative generalization of Lax formalism of U(N) principal chiral model in terms of a one-parameter family of flat connections. The Lax formalism is further used to derive a set of parametric noncommutative B\"{a}cklund transformation and an infinite set of conserved quantities. From the Lax pair, we derive a noncommutative version of the Darboux transformation of the model.

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