科研讨论班

Abstract

We introduce and review several two-dimensional lattice models from statistical physics and their conformally invariant scaling limits. Then we focus on the two dimensional near-critical Ising model and its scaling limit. In joint work with Camia and Newman, we proved exponential decay of correlations in this model; we also constructed a Gaussian process using the magnetization field. Both are related to an old physics conjecture about particle masses.