Asymptotics of decay of correlations for lattice spin fields at high temperatures. I: The Ising model.

DOI10.1007/BF02179578zbMath1081.82526MaRDI QIDQ1593431

Elena A. Zhizhina, Robert Adol'fovich Minlos

Publication date: 16 January 2001

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

transfer matrixMarkov chainIsing modelscattering theoryFriedrichs modelsaddle-point method\(T\)-matrix

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31)

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Cites Work

• The spectrum of the transfer matrix in \(C^*\)-algebra of the Ising model at high temperatures
• Ornstein-Zernike and analyticity properties for classical lattice spin systems
• Invariant subspaces of clustering operators. II
• Lowering and Raising Operators for the Orthogonal Group in the Chain O(n) ⊃ O(n − 1) ⊃ … , and their Graphs
• Crystal Statistics. II. Partition Function Evaluated by Spinor Analysis
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition
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