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The Hubbard Model at Half-Filling, Part III: the Lower Bound on the Self-Energy
Authors:Stéphane Afchain  Jacques Magnen  Vincent Rivasseau
Institution:(1) Centre de Physique Théorique, CNRS, UMR 7644, École Polytechnique, F-91128 Palaiseau cedex, France;(2) Laboratoire de Physique Théorique, CNRS, UMR 8627, Université de Paris-Sud, F-91405 Orsay, France
Abstract:We complete the proof that the two-dimensional Hubbard model at half- filling is not a Fermi liquid in the mathematically precise sense of Salmhofer, by establishing a lower bound on a second derivative in momentum of the first nontrivial self-energy graph.submitted 20/12/04, accepted 10/12/05
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