The CFT conjectural limit for two-dimensional statistical mechanics models

In the scaling regime of a two-dimensional statistical mechanics model undergoing a continuous phase transition, correlation functions are rescaled so that their limiting functions describe the macroscopic behaviour of the model; a conformal field theory (CFT) is a quantum field theory invariant under conformal transformations, and its correlation functions are the corresponding observables.

CFT scaling-limit conjecture. The scaling limits of two-dimensional statistical mechanics models undergoing a continuous phase transition are given by the correlation functions of a CFT.

This conjecture proposes that conformal field theories describe the universal scaling limits of two-dimensional systems at continuous phase transitions, extending the role of scale and rotational invariance in universality. The surrounding text presents it as a guiding conjectural principle rather than a theorem, and no resolution is supplied here.