The Spectral Problem for the q-Knizhnik-Zamolodchikov Equation

Details The Spectral Problem for the q-Knizhnik-Zamolodchikov Equation The Spectral Problem for the q-Knizhnik-Zamolodchikov Equation

1993-05-20

arxiv.org/abs/hep-th/9305091v1

Phys.Lett. B311 (1993) 103-109

Physics

High Energy Physics

High Energy Physics - Theory

11 pages

Scientific paper

10.1016/0370-2693(93)90541-O

We analyse the spectral problem for the q-Knizhnik-Zamolodchikov equations for $U_q(\widehat{sl_2}) (0 < q \leq 1)$ at level zero. The case of 2-point functions in the fundamental representation is studied in detail. The scattering states are found explicitly in terms of continuous q-Jacobi polynomials. The corresponding S-matrix is shown to coincide, up to a trivial factor, with the kink-antikink S-matrix in the spin-1/2 XXZ antiferromagnet.

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