The two dimensional Hubbard Model at half-filling: I. Convergent Contributions

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dc.creatorRivasseau, Vincent
dc.date2001-07-05
dc.date.accessioned2026-07-07T02:42:03Z
dc.date.available2026-07-07T02:42:03Z
dc.descriptionWe prove analyticity theorems in the coupling constant for the Hubbard model at half-filling. The model in a single renormalization group slice of index $i$ is proved to be analytic in $λ$ for $|λ| \le c/i$ for some constant $c$, and the skeleton part of the model at temperature $T$ (the sum of all graphs without two point insertions) is proved to be analytic in $λ$ for $|λ| \le c/|\log T|^{2}$. These theorems are necessary steps towards proving that the Hubbard model at half-filling is {\it not} a Fermi liquid (in the mathematically precise sense of Salmhofer).
dc.description31 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0107118
dc.identifierhttp://arxiv.org/abs/cond-mat/0107118
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/17988
dc.subjectStrongly Correlated Electrons
dc.subjectMathematical Physics
dc.titleThe two dimensional Hubbard Model at half-filling: I. Convergent Contributions
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