Absence of the Mott transition in infinite dimensions

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It is shown that the half filled Hubbard model does not display the Mott metal-insulator transition, in the limit of infinite dimensions. The proposed transition on the Bethe lattice is proved to be an artifact. In the atomic limit, the model is always in the antiferromagnetic phase, which can be described by the Weiss mean field model.
4 pages, inaccurate formulation after Eq.(2) corrected

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