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Zapiski Nauchnykh Seminarov POMI, 1994, Volume 215, Pages 100–114
(Mi znsl5925)
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This article is cited in 10 scientific papers (total in 10 papers)
The zero-curvature representation for nonlinear $O(3)$ sigma-model
A. G. Bytsko St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences
Abstract:
We consider $O(З)$ sigma-model as a reduction of the principal chiral field. This approach allows to introduce the currents with ultralocal Poisson brackets and to obtain the zero-curvature equation which admits the fundamental Poisson bracket. Bibliography: 5 titles.
Received: 27.01.1994
Citation:
A. G. Bytsko, “The zero-curvature representation for nonlinear $O(3)$ sigma-model”, Differential geometry, Lie groups and mechanics. Part 14, Zap. Nauchn. Sem. POMI, 215, Nauka, St. Petersburg, 1994, 100–114; J. Math. Sci. (New York), 85:1 (1997), 1619–1628
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https://www.mathnet.ru/eng/znsl5925 https://www.mathnet.ru/eng/znsl/v215/p100
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Abstract page: | 123 | Full-text PDF : | 91 |
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