New path integral representation for Hubbard model: I. Supercoherent state

Details New path integral representation for Hubbard model: I. Supercoherent state New path integral representation for Hubbard model: I. Supercoherent state

2010-02-16

arxiv.org/abs/1002.3043v1

Physics

Condensed Matter

Strongly Correlated Electrons

21 pages

Scientific paper

The Hubbard model is used to study an electronic system. In this paper we present the new path integral representation for Hubbard model. We have constructed the new supercoherent state which appears from a set of eigenfunctions of atomic limit of strongly correlated systems. Exact calculation of nonlinear representation of a supergroup has been carried. This group defines the transformation of atomic base. The general formalism we elaborate for Hubbard model is the one widely used in the gauge field theory of the nonlinear representation of a superconformal group.

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