Publication

Conformal Invariance of Ising Model Correlations

Clément Hongler
2012
Conference paper

Abstract

We review recent results with D. Chelkak and K. Izyurov, where we rigorously prove existence and conformal invariance of scaling limits of magnetization and multi-point spin correlations in the critical Ising model on an arbitrary simply connected planar domain. This solves a number of conjectures coming from physical and mathematical literatures. The proof is based on convergence results for discrete holomorphic spinorobservables

Official source

https://infoscience.epfl.ch/record/200298?ln=en

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Conformal Invariance of Ising Model Correlations

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Flux correlators and semiclassics

Primary and secondary order parameters in the fully frustrated transverse-field Ising model on the square lattice

Critical properties of the quantum Ashkin-Teller chain with chiral perturbations

Primary and secondary order parameters in the fully frustrated transverse-field Ising model on the square lattice

Flux correlators and semiclassics

Critical properties of the quantum Ashkin-Teller chain with chiral perturbations