Reflection positivity of the random-cluster measure invalidated for noninteger q

被引：4
|
作者：
Biskup, M [1 ]
机构：
[1] Catholic Univ Nijmegen, Inst Math, NL-6525 ED Nijmegen, Netherlands
[2] Charles Univ, MFF, Dept Theoret Phys, Prague 18000, Czech Republic
来源：
JOURNAL OF STATISTICAL PHYSICS | 1998年 / 92卷 / 3-4期
关键词：
random-cluster measure; Potts model; reflection positivity;
D O I：
10.1023/A:1023076202262
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider the random-cluster Ports measure on a lattice torus that weights each connected component by a positive number q. We show, by constructing a counterexample, that this measure is not reflection-positive unless q is integer.
引用
收藏
页码：369 / 375
页数：7
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