Abstract
We obtain a rigorous condition for the divergence of the staggered susceptibility of the half filled Hubbard model in infinite dimensions by differentiating the exact functional-integral equation for the local Greens function with respect to a staggered magnetic field. In the weak-coupling regime, wemake the reasonable assumption that the high temperature phase without broken symmetry is a Fermi liquid, and proof that the system develops long-range antiferromagnetic order at a finite temperature.
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