Decay of correlations in N-vector ferromagnetic quantum models with long-range interactions

被引：3
|
作者：
Kargol, Alina [1 ]
机构：
[1] Uniwersytet Marii Curie Sklodowskiej, Inst Matemat, PL-20031 Lublin, Poland
来源：
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2014年
关键词：
classical phase transitions (theory); correlation functions (theory); quantum phase transitions (theory); EUCLIDEAN GIBBS-STATES; ANHARMONIC CRYSTALS; STABILIZATION; SYSTEMS;
D O I：
10.1088/1742-5468/2014/10/P10006
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
A lattice model of N-vector quantum anharmonic oscillators with long-range attraction is studied. This model is characterized by the critical temperature T-C(N) >= 0. By means of the Hammersley-Lieb-Simon inequality and a path integral representation of the two-point correlation function g(N), we prove that, for T > T-C(1) >= T-C(N), up to a constant this function is bounded from above by the interaction intensity. The decay of the two-point correlation function of the corresponding classical model is also discussed.
引用
收藏
页数：13
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