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

被引：5

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

页码：369 / 375

页数：7

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