Geodesic
The~functional integral in the~Hubbard model
Teoretičeskaâ i matematičeskaâ fizika, Tome 172 (2012) no. 3, pp. 479-496

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In a new functional integral approach proposed for the model, we find the regime with a deformed integration measure in which the standard integral is replaced with the Jackson integral. We indicate the relation to a $p$-adic functional integral. For the magnetic and electronic subsystems in the effective functional that results from the operator formulation of the Hubbard model, we find the two-parametric quantum derivative resulting in the appearance of the quantum $SU_{rq}(2)$ group. We establish the relation to the one-parametric quantum derivative and to the standard derivative.
Keywords: strongly correlated system, Hubbard model, $p$-adic functional integral. 
@article{TMF_2012_172_3_a10,
     author = {V. M. Zharkov},
     title = {The~functional integral in {the~Hubbard} model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {479--496},
     publisher = {mathdoc},
     volume = {172},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2012_172_3_a10/}
}
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V. M. Zharkov. The~functional integral in the~Hubbard model. Teoretičeskaâ i matematičeskaâ fizika, Tome 172 (2012) no. 3, pp. 479-496. http://geodesic.mathdoc.fr/item/TMF_2012_172_3_a10/