Conformal Field Theory of the 3D Ising Model

by Prof. Slava Rychkov

Institut des Hautes Etudes Scientifiques (Bures-sur-Yvette)
at Physics Colloquium

Tue, 04 Apr 2023, 15:15


The two-dimensional Ising model was solved exactly as a lattice model at any temperature (Onsager, 1941) or as a conformal field theory at the critical temperature (Belavin, Polyakov, Zamolodchikov, 1984). On the other hand, the three-dimensional Ising model has so far resisted all attempts at the exact solution as a lattice model, although renormalization group methods (Wilson, 1971) have been successful at providing approximate understanding at T=Tc. Recently, conformal field theory methods ("conformal bootstrap") have been shown to provide a very accurate description of the 3D Ising model at the critical temperature. I will review these successes, which offer a tantalizing hope that the 3D Ising model may after all be exactly solvable.

Created on 27-02-2023 by Maniv, Eran (eranmaniv)
Updaded on 21-03-2023 by Maniv, Eran (eranmaniv)