Correlation function of the two-dimensional Ising model on a finite lattice. II

Abstract

We calculate the two-point correlation function and magnetic susceptibility in the anisotropic 2D Ising model on a lattice with one infinite and the other finite dimension, along which periodic boundary conditions are imposed. Using exact expressions for a part of lattice form factors, we propose the formulas for arbitrary spin matrix elements, thus providing a possibility to compute all multipoint correlation functions in the anisotropic Ising model on cylindrical and toroidal lattices. The scaling limit of the corresponding expressions is also analyzed.

16 pages, no figures; old paper (2003) posted for archival purposes; some inaccuracies in the journal translation and a misprint in the formula (44) corrected

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• On Painleve VI transcendents related to the Dirac operator on the hyperbolic disk
• Periodic Ising Correlations
• Spin Matrix for the Scaled Periodic Ising Model
• Form factors of twist fields in the lattice Dirac theory