Non-gaussianity of the critical 3d Ising model
  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. 
Slava Rychkov, David Simmons-Duffin, Bernardo Zan
hep-th cond-mat.stat-mech math-ph math.MP