385 citations · 4.3k across the 93 of their papers we have counts for
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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
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 o…
Non-Commutative Renormalization
V. Rivasseau, F. Vignes-Tourneret
We review the recent approach of Grosse and Wulkenhaar to the perturbative renormalization of non commutative field theory and suggest a related constructive program. This paper is…
Renormalization of the 2-point function of the Hubbard model at half-filling
Stephane Afchain, Jacques Magnen, Vincent Rivasseau
We prove that the two dimensional Hubbard model at finite temperature T and half-filling is analytic in the coupling constant in a radius at least . We also study the…