Abstract
We consider the one-dimensional half-filled Hubbard model. We show that the excitation spectrum is given by the scattering states of four elementary excitations, which form the fundamental representation of SU(2) × SU(2). We determine the exact two-particle scattering matrix, which is a solution of the Yang-Baxter equation and reflects the SO(4) symmetry of the model. The results for the repulsive and attractive Hubbard model are related by an interchange of spin and charge degrees of freedom.
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