Renormalization Group Flow of the Two-Dimensional O(N) Spin Model |
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| Authors: | Ito K. R. |
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| Affiliation: | (1) Department of Mathematics and Physics, Setsunan University, Neyagawa, 572-8508, Japan |
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| Abstract: | We develop a new block spin transformation and apply it to the 2D O(N) spin model. The transformation does not yield complicated non-local terms and then the transformation recursion formula seems to be controllable for any initial inverse temperature  > 0. The main part of the block spin transformation of the model with large N converges to a massive state, no matter how low the initial temperature 1/ is, and is close to the flow of the hierarchical model advocated by Dyson and Wilson several decades ago. |
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| Keywords: | O(N) spin model renormalization group block spin |
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