The Ising model on random lattices in arbitrary dimensions

被引：39

作者：

Bonzom, Valentin ^{[1
]}

Gurau, Razvan ^{[1
]}

Rivasseau, Vincent ^{[2
]}

机构：

[1] Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada

[2] Univ Paris 11, Phys Theor Lab, CNRS, UMR 8627, F-91405 Orsay, France

来源：

PHYSICS LETTERS B | 2012年 / 711卷 / 01期

关键词：

Random tensor models; 1/N expansion; Critical behavior; COLORED TENSOR-MODELS; FIELD-THEORIES; 2D GRAVITY; PLANAR;

D O I：

10.1016/j.physletb.2012.03.054

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We study analytically the Ising model coupled to random lattices in dimension three and higher. The family of random lattices we use is generated by the large N limit of a colored tensor model generalizing the two-matrix model for Ising spins on random surfaces. We show that, in the continuum limit, the spin system does not exhibit a phase transition at finite temperature, in agreement with numerical investigations. Furthermore we outline a general method to study critical behavior in colored tensor models. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：88 / 96

页数：9

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