Conserved Quantities in Noncommutative Principal Chiral Model with Wess-Zumino Term
arXiv:hep-th/0605092 · doi:10.1088/0305-4470/38/42/005
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.
14 Pages