Generalised integrable Hubbard models

dc.creatorDrummond, James
dc.creatorFeverati, Giovanni
dc.creatorFrappat, Luc
dc.creatorRagoucy, Eric
dc.date2007-12-12
dc.date.accessioned2026-07-07T08:48:50Z
dc.date.available2026-07-07T08:48:50Z
dc.descriptionWe construct the XX and Hubbard-like models based on unitary superalgebras gl(N|M) generalizing Shastry's and Maassarani's approach. We introduce the R-matrix of the gl(N|M) XX-type model; the one of the Hubbard-like model is defined by "coupling" two independent XX models. In both cases, we show that the R-matrices satisfy the Yang-Baxter equation. We derive the corresponding local Hamiltonian in the transfer matrix formalism and we determine its symmetries. A perturbative calculation "à la Klein and Seitz" is performed. Some explicit examples are worked out. We give a description of the two-particle scattering.
dc.descriptionTalk given by G. Feverati at the workshop "RAQIS'07 Recent Advances in Quantum Integrable Systems", 11-14 Sept. 2007, LAPTH, Annecy-le-Vieux, France
dc.identifierhttps://arxiv.org/abs/0712.1940
dc.identifierhttp://arxiv.org/abs/0712.1940
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144087
dc.subjectHigh Energy Physics - Theory
dc.titleGeneralised integrable Hubbard models
dc.typetext

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