Supergroup approach to the Hubbard model
arXiv:1102.2522 · doi:10.1007/s11232-011-0015-0
Abstract
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.
17 pages, Theoretical and Mathematical Physics, V.166, n.2, p.209-222,2011
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