New correlation duality relations for the planar Potts model

被引:2
|
作者
King, C [1 ]
Wu, FY
机构
[1] Northeastern Univ, Dept Math, Boston, MA 02115 USA
[2] Northeastern Univ, Dept Phys, Boston, MA 02115 USA
基金
美国国家科学基金会;
关键词
the Potts model; duality relations; F-K representation;
D O I
10.1023/A:1014550516842
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We introduce a new method to generate duality relations for correlation functions of the Potts model on a planar graph. The method extends previously known results, by allowing the consideration of the correlation function for arbitrarily placed vertices on the graph. We show that generally it is linear combinations of correlation functions, not the individual correlations, that are related by dualities. The method is illustrated in several non-trivial cases, and the relation to earlier results is explained. A graph-theoretical formulation of our results in terms of rooted dichromatic, or Tutte, polynomials is also given.
引用
收藏
页码:919 / 940
页数:22
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