期刊
PHYSICAL REVIEW D
卷 88, 期 5, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.88.056005
关键词
-
资金
- 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]
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.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据