The Spectral Problem for the q-Knizhnik-Zamolodchikov Equation
High Energy Physics - Theory
2009-10-22 v1
Abstract
We analyse the spectral problem for the q-Knizhnik-Zamolodchikov equations for 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.
Keywords
Cite
@article{arxiv.hep-th/9305091,
title = {The Spectral Problem for the q-Knizhnik-Zamolodchikov Equation},
author = {Peter G. O. Freund and Anton V. Zabrodin},
journal= {arXiv preprint arXiv:hep-th/9305091},
year = {2009}
}
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11 pages