SU(2)xSU(2) Invariant Scattering Matrix of the Hubbard Model

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 $SU(2)\times SU(2)$. We determine the exact two-particle Scattering matrix, which a solution of the Yang-Baxter equation and reflects the $SO(4)$ symmetry of the model. The results for repulsive and attractive Hubbard model are related by an interchange of spin and charge degrees of freedom.

29 pages, jyTeX (macro included - just TeX the file) ITP-SB-93-45, BONN-HE-93-39

References in corpus (1)

• Kinks in the Kondo problem

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