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arXiv:cond-mat/9310056 · Nuclear Physics B

SU(2) × SU(2)-invariant scattering matrix of the Hubbard model

Fabian H. L. Eßler, V. E. Korepin

Published Sep 1, 1994• 57 citations
arXivHTMLPDF
DOI
10.1016/0550-3213(94)90019-1

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We consider the one-dimensional Hubbard model at half filling. We show that both excitation spectrum and S matrix are determined by the SO(4) symmetry of the model. The complete set of excitations is given by the scattering states of four elementary excitations, which form the fundamental representation of SU(2)\ifmmode\times\else\texttimes\fi{}SU(2). We evaluate the exact S matrix, which satisfies the Yang-Baxter relation. The results for the repulsive and attractive Hubbard model are related by an interchange of spin and charge degrees of freedom.