Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2007-08-27
Theor. Math. Phys. 140 (2004) 987-1000; Teor. Mat. Fiz. 140 (2004) 113-127
Nonlinear Sciences
Exactly Solvable and Integrable Systems
16 pages, no figures; old paper (2003) posted for archival purposes; some inaccuracies in the journal translation and a mispri
Scientific paper
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.
Bugrij Anatolij I.
Lisovyy Oleg
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