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In 3D it should not, and this difference is unproven.","posed_since":"","precise":"Prove that every subsequential scaling limit of the critical spin field on $Z^{3}$ is non-Gaussian, for example that the rescaled fourth Ursell function does not vanish, and that $\\eta > 0$ strictly (the infrared bound gives only $\\eta \\ge 0$). Answer: a proof.","problem_ref":null,"references":"","settled_by":"A proof of a nonvanishing four-point Ursell function in the 3D scaling limit.","status_note":"Gaussianity is proven for $d \\ge 5$ (Aizenman; Frohlich, 1982) and $d = 4$ (Aizenman and Duminil-Copin, 2021).","title":"Non-Gaussian scaling limit of the critical 3D Ising 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