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Non-gaussianity of the critical 3d Ising model

Slava Rychkov, David Simmons-Duffin, Bernardo Zan

SciPost Phys. 2, 001 (2017) · published 10 February 2017


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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3d Ising model Conformal bootstrap Ising model

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