Publication

Conformal Invariance of Spin Correlations in the Planar Ising Model

Clément Hongler
2015
Journal Articles

Abstract

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.

Official source

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Conformal Invariance of Spin Correlations in the Planar Ising Model

Chat with Graph Search

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

Flux correlators and semiclassics

Bootstrapping smooth conformal defects in Chern-Simons-matter theories