Vector-Model Approach to Non-Perturbative Theory of Random Filaments
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概要
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It is explained how vector models can be used to describe the physics of random filaments with arbitrary random branches. The continuum limit is obtained in the large-N limit by taking a double scaling limit which is analogous to that in the matrix models. The models exhibit various interesting properties, such as, nonperturbative instability, connection with the KP hierarchy, Virasoro structure, among others, which can be compared with the corresponding behaviors of the matrix models. When the target space is a continuum, the critical theories in the scaling limit are equivalent with superrenormalizable local field theories and the fractal dimensions of the random filaments are given by 2k/(k-1) (k=2, 3, ・・・) at the k-th critical point.
- 一般社団法人日本物理学会の論文
- 1992-05-25
著者
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YONEDA Tetsuya
Department of Physics, Kumamoto University
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Yoneya Tamiaki
Institute of Physics, University of Tokyo
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