Geodesic
Supergroup approach to the Hubbard model
Teoretičeskaâ i matematičeskaâ fizika, Tome 166 (2011) no. 2, pp. 245-260 Cet article a éte moissonné depuis la source Math-Net.Ru

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Based on the revealed hidden supergroup structure, we develop a new approach to the Hubbard model. We reveal a relation of even Hubbard operators to the spinor representation of the generators of the rotation group of four-dimensional spaces. We propose a procedure for constructing a matrix representation of translation generators, yielding a curved space on which dynamic superfields are defined. We construct a new deformed nonlinear superalgebra for the regime of spinless Hubbard model fermions in the case of large on-site repulsion and evaluate the effective functional for spinless fermions.
Keywords: Hubbard model, deformed nonlinear superalgebra, effective functional. 
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V. M. Zharkov; V. S. Kirchanov. Supergroup approach to the Hubbard model. Teoretičeskaâ i matematičeskaâ fizika, Tome 166 (2011) no. 2, pp. 245-260. http://geodesic.mathdoc.fr/item/TMF_2011_166_2_a3/

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