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We study the charge dynamic structure factor of the one-dimensional Hubbardmodel with finite on-site repulsion U at half filling. Numerical results fromthe time-dependent density matrix renormalization group are analyzed bycomparison with the exact spectrum of the model. The evolution of the lineshape as a function of U is explained in terms of a relative transfer ofspectral weight between the two-holon continuum that dominates in the limitU\to \infty and a subset of the two-holon-two-spinon continuum thatreconstructs the electron-hole continuum in the limit U\to 0. Power-lawsingularities along boundary lines of the spectrum are described by effectiveimpurity models that are explicitly invariant under spin and \eta-spin SU(2)rotations. The Mott-Hubbard metal-insulator transition is reflected in adiscontinuous change of the exponents of edge singularities at U=0. The sharpfeature observed in the spectrum for momenta near the zone boundary isattributed to a Van Hove singularity that persists as a consequence ofintegrability.

Charge dynamics in half-filled Hubbard chains with finite on-site interaction