Current Algebra and Integrability of Principal Chiral Model on the World-sheet with General Metric.
| Authors | |
|---|---|
| Year of publication | 2007 |
| Type | Article in Periodical |
| Magazine / Source | Journal of High Energy Physics |
| MU Faculty or unit | |
| Citation | |
| Web | http://arxiv.org/abs/hep-th/0703003 |
| Field | Theoretical physics |
| Keywords | current algebra integrability |
| Description | We study the classical current algebra for principial chiral model defined on two dimensional world-sheet with general metric. We develop the Hamiltonian formalism and determine the form of the Poisson brackets between currents. Then we determine the Poisson bracket for Lax connection and we show that this Possion bracket does not depend on the world-sheet metric. We also study the Nambu-Gotto form of this model. We prove an existence of the Lax connection and determine their Poisson bracket. |
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