Conformal Invariance of Ising Model Correlations

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


Published in:
ICMP 12 proceedings, Part B - Topical Sessions - Equilibrium and non-equilibrium statistical mechanics, 326-335
Presented at:
XVIIth International Congress on Mathematical Physics, Aalborg, Denmark, 6-11 August 2012
Year:
2012
Publisher:
Aalborg University, Denmark, Arne Jensen
Keywords:
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 Record created 2014-07-18, last modified 2018-09-13

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