A formula for boundary correlations of the critical Ising model

DOI10.1007/s00440-021-01086-wzbMath1482.82021arXiv2010.13345OpenAlexW3196300613MaRDI QIDQ2073185

Pavel Galashin

Publication date: 27 January 2022

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.13345

zbMATH Keywords

Fourier transformregular polygonstotally nonnegative Grassmanniancritical \(Z\)-invariant Ising modelboundary spin correlations

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Positive matrices and their generalizations; cones of matrices (15B48) 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 (1)

Critical varieties in the Grassmannian

Cites Work

• Unnamed Item
• The critical temperature for the Ising model on planar doubly periodic graphs
• The energy density in the planar Ising model
• Universality in the 2D Ising model and conformal invariance of fermionic observables
• 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
• Ising model and the positive orthogonal Grassmannian
• The critical \(Z\)-invariant Ising model via dimers: the periodic case
• Infinite conformal symmetry in two-dimensional quantum field theory
• The Laplacian and Dirac operators on critical planar graphs
• Electroid varieties and a compactification of the space of electrical networks
• Conformal invariance of spin correlations in the planar Ising model
• Tiling a polygon with parallelograms
• The planar Ising model and total positivity
• Convergence of Ising interfaces to Schramm's SLE curves
• Periodicity and integrability for the cube recurrence
• Grassmannian Geometry of Scattering Amplitudes
• Positroid varieties: juggling and geometry
• The statistics of dimers on a lattice
• CONFORMAL INVARIANCE OF ISING MODEL CORRELATIONS
• The positive orthogonal Grassmannian and loop amplitudes of ABJM
• Statistical Mechanics of Dimers on a Plane Lattice
• The two-dimensional Ising model and the Kac-Ward determinant
• Moment curves and cyclic symmetry for positive Grassmannians
• Weak separation and plabic graphs
• A Combinatorial Solution of the Two-Dimensional Ising Model
• Totally nonnegative Grassmannian and Grassmann polytopes
• The totally nonnegative Grassmannian is a ball

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