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These powers are proven for related weakly interacting models but not for the Ising model itself.","posed_since":"","precise":"Nearest-neighbour Ising model on $Z^4$. Prove $\\chi(\\beta)\\sim C(\\beta_c-\\beta)^{-1}\\left|\\log(\\beta_c-\\beta)\\right|^{1/3}$ as $\\beta\\to \\beta_c^{-}$ (the $n=1$ case of the exponent $(n+2)/(n+8)$), and the corresponding corrections for the correlation length and specific heat. Answer: a proof.","problem_ref":null,"references":"","settled_by":"A proof of the $\\mid\\operatorname{log}\\mid^{1/3}$ susceptibility correction for the nearest-neighbour 4D Ising model.","status_note":"Aizenman and Duminil-Copin (Annals of Mathematics, 2021, arXiv 1912.07973) proved Gaussian scaling limits with a logarithmic improvement of the tree bound; exact logarithmic exponents are proven for weakly coupled $4\\mathrm{D}$ $\\mid\\phi\\mid^{4}$ and weakly self-avoiding walk (Bauerschmidt, Brydges and Slade, 2014-2015).","title":"Logarithmic corrections at the critical point of the 4D Ising 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