Non-gaussianity of the critical 3d Ising model

Wednesday, 7 December, 2016

Published in: 

arXiv:1612.02436

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.

Author(s): 

Slava Rychkov
David Simmons-Duffin
Bernardo Zan