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arXiv · 1210.1022

The functional integral in the Hubbard model

Viktor Zharkov
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Abstract

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 the standard derivative.

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Viktor Zharkov. 2012-10-03. The functional integral in the Hubbard model. https://doi.org/10.1007/s11232-012-0115-5

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