The correlation function in two dimensional Ising model on the finite size lattice. I

2000/11/13 by A. I. Bugrij, Bugrij, A. I.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Random Matrices and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0011104

25 pages, 1 fig., LaTeX, mispints corrected, references added

openalex publication_date 2000/11/13 · arxiv created 2001/03/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The correlation function of two dimensional Ising model with the nearest neighbours interaction on the finite size lattice with the periodical boundary conditions is derived. The expressions similar to the form factor representation are obtained both for the ferromagnetic and paramagnetic regions of coupling constant. The peculiarities caused by the finite size of the system are discussed. The asymptotic behaviour of the corresponding quantities as functions of size is calculated. Some generalization of the obtained result is conjectured.

Citations

• Spin-spin correlation functions for the two-dimensional Ising model: Exact theory in the scaling region

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