Renormalization Group Flow of the Two-Dimensional O(N) Spin Model |
| |
| Authors: | Ito K R |
| |
| Institution: | (1) Department of Mathematics and Physics, Setsunan University, Neyagawa, 572-8508, Japan |
| |
| 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. |
| |
| Keywords: | O(N) spin model renormalization group block spin |
| 本文献已被 SpringerLink 等数据库收录！ |
|
