THE SAGA OF THE ISING SUSCEPTIBILITY

被引:4
|
作者
Mccoy, Barry M. [1 ]
Assis, Michael [1 ]
Boukraa, Salah [2 ,3 ]
Hassani, Saoud [4 ]
Maillard, Jean-Marie [5 ]
Orrick, William P. [6 ]
Zenine, Nadjah [4 ]
机构
[1] SUNY Stony Brook, CN Yang Inst Theoret Phys, Stony Brook, NY 11794 USA
[2] Univ Blida, LPTHIRM, Blida, Algeria
[3] Univ Blida, Dept Aeronaut, Blida, Algeria
[4] Ctr Rech Nucl Alger, Algiers, Algeria
[5] Univ Paris 06, LPTMC, F-75252 Paris 05, France
[6] Indiana Univ, Dept Math, Bloomington, IN 47405 USA
关键词
FUCHSIAN DIFFERENTIAL-EQUATION; SQUARE LATTICE; CRYSTAL STATISTICS; MODEL; ORDER;
D O I
10.1142/9789814324373_0015
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We review developments made since 1959 in the search for a closed form for the susceptibility of the Ising model. The expressions for the form factors in terms of the nome q and the modulus k are compared and contrasted. The lambda generalized correlations C(M, N; lambda) are defined and explicitly computed in terms of theta functions for M = N = 0,1.
引用
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页码:287 / 306
页数:20
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