Excitations and S-matrix for su(3) spin chain combining ${3}$ and ${3^{*}}

Details Excitations and S-matrix for su(3) spin chain combining ${3}$ and ${3^{*}} Excitations and S-matrix for su(3) spin chain combining ${3}$ and ${3^{*}}

1998-01-14

arxiv.org/abs/cond-mat/9801129v1

Physics

Condensed Matter

17 pages, plaintex, harvmac (to be published in J. of Phys. A)

Scientific paper

10.1088/0305-4470/31/10/005

The associated Hamiltonian for a su(3) spin chain combining ${3}$ and ${3^{*}}$ representations is calculated. The ansatz equations for this chain are obtained and solved in the thermodynamic limit, and the ground state and excitations are described. Thus, relations between the number of roots and the number of holes in each level have been found . The excited states are characterized by means of these quantum numbers. Finally, the exact S matrix for a state with two holes is found.

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