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Conserved Quantities in Noncommutative Principal Chiral Model with Wess-Zumino Term

U. Saleem·M. Hassan·M. Siddiq
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Abstract

We construct noncommutative extension of U(N) principal chiral model with Wess-Zumino term and obtain an infinite set of local and non-local conserved quantities for the model using iterative procedure of Brezin {\it et.al} \cite{BIZZ}. We also present the equivalent description as Lax formalism of the model. We expand the fields perturbatively and derive zeroth- and first-order equations of motion, zero-curvature condition, iteration method, Lax formalism, local and non-local conserved quantities.

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U. Saleem, M. Hassan, M. Siddiq. 2006-05-10. Conserved Quantities in Noncommutative Principal Chiral Model with Wess-Zumino Term. https://doi.org/10.1088/0305-4470%2F38%2F42%2F005

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