Ising model: local spin correlations and conformal invariance

DOI10.1007/s00220-019-03312-yzbMath1419.82012arXiv1312.4446OpenAlexW2962682422MaRDI QIDQ2414714

Yanyan Li

Publication date: 17 May 2019

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

Full work available at URL: https://arxiv.org/abs/1312.4446

zbMATH Keywords

2-dimensional Ising modelPfaffian formulaespin-symmetric field

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items

Conformal field theory at the lattice level: discrete complex analysis and Virasoro structure, Universality of spin correlations in the Ising model on isoradial graphs, Slit-strip Ising boundary conformal field theory. I: Discrete and continuous function spaces, The Green's function on the double cover of the grid and application to the uniform spanning tree trunk, Convergence of fermionic observables in the massive planar FK-Ising model

Cites Work

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• Holomorphic spinor observables in the critical Ising model
• The energy density in the planar Ising model
• Critical Ising on the square lattice mixes in polynomial time
• Universality in the 2D Ising model and conformal invariance of fermionic observables
• Hitting probabilities of random walks on \({\mathbb{Z}}^ d\)
• Conformal invariance in random cluster models. I: Holomorphic fermions in the Ising model
• The critical \(Z\)-invariant Ising model via dimers: Locality property
• Discrete complex analysis on isoradial graphs
• Conformal field theory
• The critical \(Z\)-invariant Ising model via dimers: the periodic case
• Infinite conformal symmetry in two-dimensional quantum field theory
• The {B}eurling estimate for a class of random walks
• Conformal invariance of domino tiling.
• Conformal field theory at the lattice level: discrete complex analysis and Virasoro structure
• Conformal invariance of spin correlations in the planar Ising model
• Revisiting the combinatorics of the 2D Ising model
• Convergence of Ising interfaces to Schramm's SLE curves
• Pattern densities in non-frozen planar dimer models
• Planar Ising correlations.
• CONFORMAL INVARIANCE OF ISING MODEL CORRELATIONS
• Beitrag zur Theorie des Ferromagnetismus
• Connection probabilities and RSW‐type bounds for the two‐dimensional FK Ising model
• Dimers and families of Cauchy-Riemann operators I
• Ising interfaces and free boundary conditions
• The Random-Cluster Model
• Towards conformal invariance of 2D lattice models
• Statistics of the Two-Dimensional Ferromagnet. Part I
• Crystal Statistics. II. Partition Function Evaluated by Spinor Analysis
• Crystal Statistics. III. Short-Range Order in a Binary Ising Lattice
• The Spontaneous Magnetization of a Two-Dimensional Ising Model
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition
• Discrete Riemann surfaces and the Ising model.