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arxiv: 0708.3643 · v1 · pith:KLU2BOG5new · submitted 2007-08-27 · 🌊 nlin.SI · cond-mat.stat-mech· hep-th· math-ph· math.MP

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

classification 🌊 nlin.SI cond-mat.stat-mechhep-thmath-phmath.MP
keywords correlationisinglatticemodelanisotropicexpressionsfinitefunction
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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.

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