New Functional Representation for Hubbard Model, Coherent States and Tower of Algebras
نویسنده
چکیده
New functional representation for the strongly interacting systems is proposed which contains a new type of the coherent state. As a result the new algebraic structureso called ”tower of algebras” appears which gives the tower (or hierarchy) of models. 1 Functional approach. Consider Hubbard model (lattice version of Thirring model) [1]: H = −t ∑ ,σ αrσ + αr′σ + U ∑ r nr,↑nr,↓ = Hband = (1)
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We review various ways to express the partition function of the single-band Hubard model as a path integral. The emphasis is made on the derivation of the action in the integrand of the path integral and the results obtained from this approach are discussed only briefly. Since the single-band Hubbard model is a pure fermionic model on the lattice and its Hamiltonian is a polynomial in creat...
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