4.1 Article

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

Journal

THEORETICAL AND MATHEMATICAL PHYSICS
Volume 140, Issue 1, Pages 987-1000

Publisher

MAIK NAUKA/INTERPERIODICA/SPRINGER
DOI: 10.1023/B:TAMP.0000033035.90327.1f

Keywords

Ising model; correlation function; susceptibility; form factor; finite-size lattice

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We calculate the pair correlation function and the magnetic susceptibility in the anisotropic Ising model oil the lattice with one infinite and one finite dimension with periodic boundary conditions imposed along the second dimension. Using the exact expressions for lattice form factors, we propose formulas for arbitrary spin matrix elements, thus providing a possibility to calculate all multipoint correlation functions in the anisotropic Ising model on cylindrical and toroidal lattices. We analyze passing to the scaling limit.

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