Non-gaussianity of the critical 3d Ising model
High Energy Physics - Theory
2017-08-11 v4 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1612.02436,
title = {Non-gaussianity of the critical 3d Ising model},
author = {Slava Rychkov and David Simmons-Duffin and Bernardo Zan},
journal= {arXiv preprint arXiv:1612.02436},
year = {2017}
}
Comments
10 pages, 6 figures; v2: refs added; v3: refs updated, published version; v4: acknowledgement added