Analyticity of the Ising susceptibility: an interpretation

被引：1

作者：

Assis, M. ^{[1
]}

Jacobsen, J. L. ^{[2
,3
,4
]}

Jensen, I. ^{[1
]}

Maillard, J-M ^{[5
]}

McCoy, B. M. ^{[6
]}

机构：

[1] Univ Melbourne, Sch Math & Stat, Melbourne, Vic 3010, Australia

[2] PSL Res Univ, UPMC Univ Paris 06, Ecole Normale Super, Dept Phys ENS,Lab Phys Theor,CNRS, F-75005 Paris, France

[3] UPMC Univ Paris 06, Sorbonne Univ, Ecole Normale Super, CNRS,Lab Phys Theor LPT ENS, F-75005 Paris, France

[4] CEA Saclay, Inst Phys Theor, F-91191 Gif Sur Yvette, France

[5] Univ P & M Curie Paris 6, LPTMC, CNRS, UMR 7600, Tour 23,5eme Etage,Case 121,4 Pl Jussieu, F-75252 Paris 05, France

[6] SUNY Stony Brook, CN Yang Inst Theoret Phys, Stony Brook, NY 11794 USA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2017年 / 50卷 / 36期

基金：

澳大利亚研究理事会; 欧洲研究理事会;

关键词：

Ising model; partition function zeros; transfer matrix eigenvalues; SQUARE LATTICE-GAS; PARTITION-FUNCTION; TOEPLITZ DETERMINANTS; CRYSTAL STATISTICS; SPIN CORRELATIONS; MAGNETIC-FIELD; MODEL; ZEROS; DENSITY;

D O I：

10.1088/1751-8121/aa8128

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss the implications of studies of partition function zeros and equimodular curves for the analytic properties of the Ising model on a square lattice in a magnetic field. In particular we consider the dense set of singularities in the susceptibility of the Ising model at H = 0 found by Nickel and its relation to the analyticity of the field theory computations of Fonseca and Zamolodchikov.

引用

页数：22

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