The two dimensional Hubbard Model at half-filling: I. Convergent Contributions - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Statistical Physics Année : 2002

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

Résumé

We 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 $\lambda$ for $|\lambda| \le c/i$ 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 $\lambda$ for $|\lambda| \le c/|\log T|^{2}$. 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).

Dates et versions

hal-00124382 , version 1 (14-01-2007)

Identifiants

Citer

Vincent Rivasseau. The two dimensional Hubbard Model at half-filling: I. Convergent Contributions. Journal of Statistical Physics, 2002, 106, pp.693-722. ⟨hal-00124382⟩
103 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More