Analyticity of correlation functions for the two-dimensional Ising model

DOI10.1007/BF01454974zbMath0613.60095OpenAlexW2038154332MaRDI QIDQ1819475

Huzihiro Araki

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf01454974

zbMATH Keywords

critical temperaturecorrelation functionstwo-dimensional Ising modelclustering property

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05) Stochastic mechanics (including stochastic electrodynamics) (81P20)

Related Items

Embeddings of U(1)-current algebras in non-commutative algebras of classical statistical mechanics, Finite energy sectors of the XY model

Cites Work

• Unnamed Item
• On a \(C^*\)-algebra approach to phase transition in the two-dimensional Ising model
• Ground states of the XY-model
• Analyticity of ground states of the XY-model
• On a \(C^ *\)-algebra approach to phase transition in the two-dimensional Ising model. II
• Gibbs states of a one dimensional quantum lattice
• On quasifree states of CAR and Bogoliubov automorphisms
• Relationship among Exactly Soluble Models of Critical Phenomena. I