Magnetic susceptibility of the 2D Ising model on a finite lattice

Details Magnetic susceptibility of the 2D Ising model on a finite lattice Magnetic susceptibility of the 2D Ising model on a finite lattice

2001-06-28

arxiv.org/abs/hep-th/0106270v2

J.Exp.Theor.Phys.94:1140-1148,2002; Zh.Eksp.Teor.Fiz.121:1328-1338,2002

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 2 figures, a few misprints corrected

Scientific paper

10.1134/1.1493166

Form factor representation of the correlation function of the 2D Ising model on a cylinder is generalized to the case of arbitrary disposition of correlating spins. The magnetic susceptibility on a lattice, one of whose dimensions ($N$) is finite, is calculated in both para- and ferromagnetic regions of parameters of the model. The singularity structure of the susceptibility in the complex temperature plane at finite values of $N$ and the thermodynamic limit $N\to\infty$ are discussed.

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