Non perturbative expansion for the Generalized Hubbard Model

Oscar P. Zandron

Abstract


In this paper we extend previous results obtained in the framework of the Lagrangian formalism for the normal-state case to the superconducting state. The non-perturbative expansion applied to the generalized Hubbard model describing N-fold-degenerate correlated bands for large-N is considered. The standard Feynman diagrammatics is obtained and the renormalized physical quantities for this model are computed and analyzed. Our purpose is to obtain the 1/N corrections to the renormalized boson and fermion propagators for a state with Cooper-pair condensation.

Keywords


Lagrangian formalism; Hubbard model; Feynman diagrammatics

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DOI: https://doi.org/10.21640/ns.v2i4.211

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