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We study the magnetic properties of the 3d Hubbard model at half-filling inthe TPSC formalism, previously developed for the 2d model. We focus on theN\'eel transition approached from the disordered side and on the paramagneticphase. We find a very good quantitative agreement with Dynamical Mean-Fieldresults for the isotropic 3d model. Calculations on finite size lattices alsoprovide satisfactory comparisons with Monte Carlo results up to theintermediate coupling regime. We point out a qualitative difference between theisotropic 3d case, and the 2d or anisotropic 3d cases for the double occupationfactor. Even for this local correlation function, 2d or anisotropic 3d casesare out of reach of DMF: this comes from the inability of DMF to account forantiferromagnetic fluctuations, which are crucial.Comment: RevTex, 9 pages +10 figure

Magnetic properties of the three-dimensional Hubbard model at half filling