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The Hubbard model at half-filling, part III: the lower bound on the self-energy

Stephane Afchain, Jacques Magnen, Vincent Rivasseau

cond-mat.str-elarXiv:cond-mat/0412401

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 non-trivial self-energy graph.

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