English

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

High Energy Physics - Theory 2009-11-11 v2

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.

Keywords

Cite

@article{arxiv.hep-th/0605092,
  title  = {Conserved Quantities in Noncommutative Principal Chiral Model with Wess-Zumino Term},
  author = {U. Saleem and M. Hassan and M. Siddiq},
  journal= {arXiv preprint arXiv:hep-th/0605092},
  year   = {2009}
}

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14 Pages