Geodesic
Supergroup approach to the~Hubbard model
Teoretičeskaâ i matematičeskaâ fizika, Tome 166 (2011) no. 2, pp. 245-260

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{TMF_2011_166_2_a3,
     author = {V. M. Zharkov and V. S. Kirchanov},
     title = {Supergroup approach to {the~Hubbard} model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {245--260},
     publisher = {mathdoc},
     volume = {166},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2011_166_2_a3/}
}
TY  - JOUR
AU  - V. M. Zharkov
AU  - V. S. Kirchanov
TI  - Supergroup approach to the~Hubbard model
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2011
SP  - 245
EP  - 260
VL  - 166
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2011_166_2_a3/
LA  - ru
ID  - TMF_2011_166_2_a3
ER  - 
%0 Journal Article
%A V. M. Zharkov
%A V. S. Kirchanov
%T Supergroup approach to the~Hubbard model
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2011
%P 245-260
%V 166
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2011_166_2_a3/
%G ru
%F TMF_2011_166_2_a3
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/