New functional representation for Hubbard model, coherent state and tower of algebras

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New functional representation for the strongly interacting systems is proposed which contains a new type of the quantum coherent state. As a result the new algebraic structure- so called "tower of algebras" appears which gives the tower (or hierarchy) of models. Generalization of Gutzwiller approximation in theory of metal-insulator phase transition is obtained. It is shown that the deformation parameters may be relevant to the order parameters in the physics of strongly correlated systems.
5 pages, LaTeX 2.09, A talk given at the 5th International Conference on the Path Integrals from mev to MeV, PI-96, Dubna, May 27-31,1996, to appear in the proceedings

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