The spectrum of the transfer matrix in \(C^*\)-algebra of the Ising model at high temperatures

DOI10.1007/BF01210725zbMath0566.46043OpenAlexW2004954069MaRDI QIDQ1059258

J. Blot

Publication date: 1984

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01210725

zbMATH Keywords

statethermodynamic limit of the Gibbs ensemblequasi-particle structurerenormalised transform matrixtwo-dimensional Ising model on a half lattice with nearest neighbour interaction

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Applications of selfadjoint operator algebras to physics (46L60) Miscellaneous applications of functional analysis (46N99)

Related Items (4)

On a \(C^ *\)-algebra approach to phase transition in the two-dimensional Ising model. II ⋮ Critical limit one-point correlations of monodromy fields on \({\mathbb{Z}}^ 2\) ⋮ Asymptotics of decay of correlations for lattice spin fields at high temperatures. I: The Ising model. ⋮ Wiener-Itô decomposition of polynomial operators formed with boson quasi-free fields

Cites Work

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• Completely positive quasi-free maps on the CAR algebra
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• A class of dissipative evolutions with applications in thermodynamics of fermion systems
• Crystal Statistics. II. Partition Function Evaluated by Spinor Analysis
• Crystal Statistics. III. Short-Range Order in a Binary Ising Lattice
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

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