Abstract
We study the spectral properties of the repulsive Hubbard model at T = 0, discussing the dynamical structure factors of spin and charge degrees of freedom. First, we evaluate an average of excitation spectra for fixed k in the one-dimensional Hubbard model, using sum rules and the Bethe ansatz solution. It is found that strong or broad continuum spectra exist above the lowest frequency in the dynamical spin-structure factor of the dilute limit and in the dynamical charge-structure factor near half filling. Next, using this average, we obtain upper bounds of excitation spectra in some phases of the two- and three-dimensional Hubbard model.
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