Conformal Invariance of Spin Correlations in the Planar Ising Model
We rigorously prove the existence and the conformal invariance of scaling limits of the magnetization and multi-point spin correlations in the critical Ising model on arbitrary simply connected planar domains. This solves a number of conjectures coming from the physical and the mathematical literature. The proof relies on convergence results for discreteholomorphic spinor observables and probabilistic techniques.
Record created on 2014-07-21, modified on 2016-08-09