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arXiv · hep-th/0609127

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

U. Saleem·M. Hassan
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Abstract

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 Bäcklund 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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U. Saleem, M. Hassan. 2006-09-29. Lax pair and Darboux transformation of noncommutative U(N) principal chiral model. https://doi.org/10.1088/0305-4470%2F39%2F37%2F021

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