Rychkov, SlavaSimmons-Duffin, DavidZan, Bernardo2020-10-082020-10-082020-10-082017-02-1010.21468/SciPostPhys.2.1.001https://infoscience.epfl.ch/handle/20.500.14299/172328We 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.text::journal::journal article::research article