The Bethe ansatz approach for factorizable centrally extended S-matrices
arXiv:hep-th/0703086 · doi:10.1016/j.nuclphysb.2007.05.021
Abstract
We consider the Bethe ansatz solution of integrable models interacting through factorized -matrices based on the central extention of the symmetry. The respective -matrix is explicitly related to that of the covering Hubbard model through a spectral parameter dependent transformation. This mapping allows us to diagonalize inhomogeneous transfer matrices whose statistical weights are given in terms of -matrices by the algebraic Bethe ansatz. As a consequence of that we derive the quantization condition on the circle for the asymptotic momenta of particles scattering by the -matrix. The result for the quantization rule may be of relevance in the study of the energy spectrum of the string sigma model in the thermodynamic limit. \
22 pages, published version