Spherically Symmetric Bogomolny Equation and Corresponding One-Dimensional Lattice Model
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概要
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The spherically symmetric Bogomolny equation by the minimal embedding of SU(2) into SU(N+1) reveals its relation to the well-known one-dimensional lattice model called the Toda lattice. We clarify the difference and similarity between them from the viewpoint of group theory as well as that of Hirota's bilinearization. On the basis of this comparison, we show that the even-number-soliton solutions of the Bogomolny equation can be obtained in the limit, N→∞. We give the third conserved quantity of the Bogomolny equation, which is characteristic of the soliton equations. An infinite number of conserved quantities are also shown in the continuous Toda equation : the 1+1-dimensional equation, which should be compared with other soliton equations.
- 理論物理学刊行会の論文
- 1981-12-25
著者
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Koikawa Takao
Department Of Physics Hiroshima University
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Koikawa Takao
Research Institute For Fundamental Physics Kyoto University
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