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.
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Communicated by Joel Feldman
submitted 20/12/04, accepted 10/12/05
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Afchain, S., Magnen, J. & Rivasseau, V. The Hubbard Model at Half-Filling, Part III: the Lower Bound on the Self-Energy. Ann. Henri Poincaré 6, 449–483 (2005). https://doi.org/10.1007/s00023-005-0214-z
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DOI: https://doi.org/10.1007/s00023-005-0214-z