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The Hubbard model is used to study an electronic system. In this paper wepresent the new path integral representation for Hubbard model. We haveconstructed the new supercoherent state for spinless electrons which appearsfrom 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 weelaborate for Hubbard model is the one widely used in the gauge field theory ofthe nonlinear representation of a superconformal group.

New path integral representation for Hubbard model: II. Spinless case