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arxiv: 1612.02436 · v4 · submitted 2016-12-07 · ✦ hep-th · cond-mat.stat-mech· math-ph· math.MP

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Non-gaussianity of the critical 3d Ising model

Slava Rychkov , David Simmons-Duffin , Bernardo Zan
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classification ✦ hep-th cond-mat.stat-mechmath-phmath.MP
keywords criticalnon-gaussianitybootstrapfunctionisingmodelratioresults
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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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