Phase transitions and reflection positivity. I. General theory and long range lattice models
Phase transitions and reflection positivity. I. General theory and long range lattice models
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相变和反射正性。
DOI：
10.1007/bf01940327
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发表时间：
1978
影响因子：
2.4
通讯作者：
B. Simon
中科院分区：
文献类型：
--
作者：
J. Fröhlich;R. Israel;E. Lieb;B. Simon
本文系统地研究了统计力学模型中的反射正性，从而系统地研究了相变理论中的两种技术：红外边界法和Peierls参数中估计轮廓概率的棋盘法。我们通过将其应用于一维和二维长程相互作用的模型来说明这些想法。在第二篇论文中讨论了其他应用。
We systematize the study of reflection positivity in statistical mechanical models, and thereby two techniques in the theory of phase transitions: the method ofinfrared bounds and the chessboard method of estimating contour probabilities in Peierls arguments. We illustrate the ideas by applying them to models with long range interactions in one and two dimensions. Additional applications are discussed in a second paper.