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Geometric Property of the Faddeev Model |
SHI Chang-Guang |
Department of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 200090 |
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Cite this article: |
SHI Chang-Guang 2008 Chin. Phys. Lett. 25 881-883 |
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Abstract Two functions u and v are used in expressing the solutions of the Faddeev model. The geometric property of the surface S determined by u and v is discussed and the shape of the surface is demonstrated as an example. The Gaussian curvature of the surface S is negative.
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Keywords:
11.10.Lm
02.40.-k
03.50.-z
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Received: 18 September 2007
Published: 27 February 2008
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PACS: |
11.10.Lm
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(Nonlinear or nonlocal theories and models)
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02.40.-k
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(Geometry, differential geometry, and topology)
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03.50.-z
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(Classical field theories)
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[1] Battye R A and Sutcliffe P M 1998 Phys. Rev. Lett. 81 4798 [2]Hietarinta J and Salo P 1999 Phys. Lett. B 451 60 [3]Faddeev L and Niemi A J 1999 Phys. Rev. Lett. 82 1624 [4]Faddeev L 1976 Lett. Math. Phys. 1 289 [5] Faddeev L and Niemi A J 1997 Nature 387 58 [6] Hirayama M and Shi C G 2004 Phys. Rev. D 69 045001 |
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