Pfaffian bundles and the Ising model

DOI10.1007/BF01260387zbMath0698.58005OpenAlexW1996983911MaRDI QIDQ912441

John Palmer

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf01260387

zbMATH Keywords

transfer matrixIsing modelinfinite isotropic GrassmannianPfaffian bundles

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Infinite-dimensional manifolds (58B99) Applications of local differential geometry to the sciences (53B50)

Related Items (2)

Determinants of Cauchy-Riemann operators as \(\tau\)-functions ⋮ Infinite complex spin groups

Cites Work

• Infinite complex spin groups
• Automorphisms of the infinite dimensional Clifford algebra and the Atiyah-Singer mod 2 index
• Loop groups and equations of KdV type
• Determinants of Cauchy-Riemann operators on a Riemann surface
• Quantum field theory, Grassmannians, and algebraic curves
• Two-dimensional Ising correlations: Convergence of the scaling limit
• Holonomic quantum fields. V
• Notes on infinite determinants of Hilbert space operators
• Monodromy fields on \({\mathbb{Z}}^ 2\)
• Index theory for skew-adjoint Fredholm operators
• Relation between the Onsager and Pfaffian Methods for Solving the Ising Problem. I. The Rectangular Lattice
• Crystal Statistics. II. Partition Function Evaluated by Spinor Analysis
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Pfaffian bundles and the Ising model