Resumen de Planar Ising magnetization field I. Uniqueness of the critical scaling limit

Federico Camia, Christophe Garban, Charles M. Newman

• The aim of this paper is to prove the following result. Consider the critical Ising model on the rescaled grid aZ2, then the renormalized magnetization field Φa:=a15/8∑x∈aZ2σxδx, seen as a random distribution (i.e., generalized function) on the plane, has a unique scaling limit as the mesh size a↘0. The limiting field is conformally covariant.