A formula for boundary correlations of the critical Ising model

• 成果类型: Article
• 署名作者: Galashin, Pavel
• 署名单位: University of California System; University of California Los Angeles
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-021-01086-w
• 发表日期: 2022
• 页码: 615-640
• 关键词: infinite conformal symmetry; statistics; Invariance; lattice; dimers

摘要

Given a finite rhombus tiling of a polygonal region in the plane, the associated critical Z-invariant Ising model is invariant under star-triangle transformations. We give a simple matrix formula describing spin correlations between boundary vertices in terms of the shape of the region. When the region is a regular polygon, our formula becomes an explicit trigonometric sum.