Branched polymers and dimensional reduction

被引：51

作者：

Brydges, DC ^{[1
]}

Imbrie, JZ

机构：

[1] Univ British Columbia, Vancouver, BC V5Z 1M9, Canada

[2] Univ Virginia, Charlottesville, VA 22903 USA

来源：

ANNALS OF MATHEMATICS | 2003年 / 158卷 / 03期

关键词：

D O I：

10.4007/annals.2003.158.1019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish an exact relation between self-avoiding branched polymers in D + 2 continuum dimensions and the hard-core continuum gas at negative activity in D dimensions. We review conjectures and results on critical exponents for D + 2 = 2,3,4 and show that they are corollaries of our result. We explain the connection (first proposed by Parisi and Sourlas) between branched polymers in D + 2 dimensions and the Yang-Lee edge singularity in D dimensions.

引用

收藏

页码：1019 / 1039

页数：21

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