Exact blocking formulas for spin and gauge models
文献类型：期刊论文
| 作者 | Liu, YZ ; Meurice, Y ; Qin, MP ; Unmuth-Yockey, J ; Xiang, T ; Xie, ZY ; Yu, JF ; Zou, HY |
| 刊名 | PHYSICAL REVIEW D
 |
| 出版日期 | 2013 |
| 卷号 | 88期号:5 |
| ISSN号 | 1550-7998 |
| 通讯作者 | Liu, YZ (reprint author), Univ Iowa, Dept Phys & Astron, Iowa City, IA 52242 USA. |
| 中文摘要 | Using the example of the two-dimensional (2D) Ising model, we show that in contrast to what can be done in configuration space, the tensor renormalization group formulation allows one to write exact, compact, and manifestly local blocking formulas and exact coarse-grained expressions for the partition function. We argue that similar results should hold for most models studied by lattice gauge theorists. We provide exact blocking formulas for several 2D spin models [the O(2) and O(3) sigma models and the SU(2) principal chiral model] and for the three-dimensional gauge theories with groups Z(2), U(1) and SU(2). We briefly discuss generalizations to other groups, higher dimensions and practical implementations. |
| 资助信息 | Department of Energy [DE-SC0010114, FG02-91ER40664]; Office of Science of the U.S. Department of Energy [DE-AC02-05CH11231]; URA Visiting Scholars' program; United States Department of Energy; NSF [1066293]; [DE-AC02-07CH11359] |
| 语种 | 英语 |
| 公开日期 | 2014-01-16 |
| 源URL | [http://ir.iphy.ac.cn/handle/311004/56977]  |
| 专题 | 物理研究所_物理所公开发表论文_物理所公开发表论文_期刊论文 |
| 推荐引用方式 GB/T 7714 | Liu, YZ,Meurice, Y,Qin, MP,et al. Exact blocking formulas for spin and gauge models[J]. PHYSICAL REVIEW D,2013,88(5). |
| APA | Liu, YZ.,Meurice, Y.,Qin, MP.,Unmuth-Yockey, J.,Xiang, T.,...&Zou, HY.(2013).Exact blocking formulas for spin and gauge models.PHYSICAL REVIEW D,88(5). |
| MLA | Liu, YZ,et al."Exact blocking formulas for spin and gauge models".PHYSICAL REVIEW D 88.5(2013). |
入库方式： OAI收割
来源：物理研究所
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