Form factor representation of the correlation function of the two dimensional Ising model on a cylinder

Details Form factor representation of the correlation function of the two dimensional Ising model on a cylinder Form factor representation of the correlation function of the two dimensional Ising model on a cylinder

2001-07-13

arxiv.org/abs/hep-th/0107117v1

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, 1 figure, LaTeX. To be published in "Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Fie

Scientific paper

The correlation function of the two dimensional Ising model with the nearest neighbours interaction on the finite size lattice with the periodical boundary conditions is derived. The expressions similar to the form factor expansion are obtained both for the paramagnetic and ferromagnetic regions of coupling parameter. The peculiarities caused by finite size are analyzed. The scaling limit of the lattice form factor expansion is evaluated.

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