New functional representation in superspace for the Hubbard model

A new functional representation for the Hubbard model is obtained. It uses a construction of “generalized coherent states with respect to the supergroup”. A way is proposed for constructing the generators of superalgebras that can be realized in problems requiring allowance to be made for strong Coulomb interaction. The physical meaning of the amplitude of the supercoordinate as the mass of the particles in the fermion sector is discussed.