Current Algebra and Integrability of Principal Chiral Model on the World-sheet with General Metric.

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Authors

KLUSOŇ Josef

Year of publication 2007
Type Article in Periodical
Magazine / Source Journal of High Energy Physics
MU Faculty or unit

Faculty of Science

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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