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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2004 Volume 140, Number 1, Pages 113–127 (Mi tmf75)

This article is cited in 26 papers

Correlation Function of the Two-Dimensional Ising Model on a Finite Lattice: II

A. I. Bugrij, O. O. Lisovyy

N. N. Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine

Abstract: We calculate the pair correlation function and the magnetic susceptibility in the anisotropic Ising model on 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.

Keywords: Ising model, correlation function, susceptibility, form factor, finite-size lattice.

Received: 28.07.2003

DOI: 10.4213/tmf75


 English version:
Theoretical and Mathematical Physics, 2004, 140:1, 987–1000

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