The Bethe ansatz approach for factorizable centrally extended S-matrices

Details The Bethe ansatz approach for factorizable centrally extended S-matrices The Bethe ansatz approach for factorizable centrally extended S-matrices

2007-03-08

arxiv.org/abs/hep-th/0703086v3

Nucl.Phys.B785:246-262,2007

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, published version

Scientific paper

10.1016/j.nuclphysb.2007.05.021

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. \

Affiliated with

Also associated with

No associations

Rating

The Bethe ansatz approach for factorizable centrally extended S-matrices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Bethe ansatz approach for factorizable centrally extended S-matrices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Bethe ansatz approach for factorizable centrally extended S-matrices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-693386