This article lists the critical exponents of the ferromagnetic transition in the Ising model. In statistical physics, the Ising model describes a continuous phase transition with scalar order parameter. The critical exponents of the transition are universal values and characterize the singular properties of physical quantities. The ferromagnetic transition of the Ising model establishes an important universality class, which contains a variety of phase transitions as different as ferromagnetism close to the Curie point and critical opalescence of liquid near its critical point.
From the quantum field theory point of view, the critical exponents can be expressed in terms of scaling dimensions of the local operators
In d=2, the conformal field theory in question is the minimal model
The d=3 theory is not yet exactly solved. This theory has been traditionally studied by the renormalization group methods and Monte-Carlo simulations. The estimates following from those techniques, as well as references to the original works, can be found in Refs. and.
More recently, a conformal field theory method known as the conformal bootstrap has been applied to the d=3 theory. This method gives results in agreement with the older techniques, but up to two orders of magnitude more precise. These are the values reported in the table.
More information on critical exponents may be found at SklogWiki