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.


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SciPost Physics, 2, 1
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Feb 10 2017
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This article is licensed under a Creative Commons Attribution 4.0 International License
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 Record created 2020-10-08, last modified 2020-10-29

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