Asymptotics of even-even correlations in the Ising model

• 成果类型: Article
• 署名作者: Ott, Sebastien; Velenik, Yvan
• 署名单位: University of Geneva
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-018-0890-5
• 发表日期: 2019
• 页码: 309-340
• 关键词: statistical-mechanical methods; particle structure-analysis; ornstein-zernike theory; lattice field-theories; spin correlations; decay; polymers; point

摘要

We consider finite-range ferromagnetic Ising models on Z(d) in the regime beta < beta(c). We analyze the behavior of the prefactor to the exponential decay of Cov(sigma(A), sigma(B)), for arbitrary finite sets A and B of even cardinality, as the distance between A and B diverges.