The Bethe ansatz approach for factorizable centrally extended S-matrices
| dc.creator | Martins, M. J. | |
| dc.creator | Melo, C. S. | |
| dc.date | 2007-03-08 | |
| dc.date | 2007-10-10 | |
| dc.date.accessioned | 2026-07-07T11:44:05Z | |
| dc.date.available | 2026-07-07T11:44:05Z | |
| dc.description | We consider the Bethe ansatz solution of integrable models interacting through factorized $S$-matrices based on the central extention of the $\bf{su}(2|2)$ symmetry. The respective $\bf{su}(2|2)$ $R$-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 $\bf{su}(2|2)$ $S$-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 $\bf{su}(2|2) \otimes \bf{su}(2|2)$ $S$-matrix. The result for the quantization rule may be of relevance in the study of the energy spectrum of the $AdS_5 \times S^{5}$ string sigma model in the thermodynamic limit. \ | |
| dc.description | 22 pages, published version | |
| dc.identifier | https://arxiv.org/abs/hep-th/0703086 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0703086 | |
| dc.identifier | Nucl.Phys.B785:246-262,2007 | |
| dc.identifier | doi:10.1016/j.nuclphysb.2007.05.021 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/201476 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The Bethe ansatz approach for factorizable centrally extended S-matrices | |
| dc.type | text |