Non-gaussianity of the critical 3d Ising model

Understand

We discuss the 4pt function of the critical 3d Ising model, extracted from recent conformal bootstrap results.

• We focus on the non-gaussianity Q - the ratio of the 4pt function to its gaussian part given by three Wick contractions.
• This ratio reveals significant non-gaussianity of the critical fluctuations.
• The bootstrap results are consistent with a rigorous inequality due to Lebowitz and Aizenman, which limits Q to lie between 1/3 and 1.