Generating function of correlators in the sl_2 Gaudin model
solv-int
2015-11-12 v1 Exactly Solvable and Integrable Systems
Abstract
For the sl_2 Gaudin model (degenerated quantum integrable XXX spin chain) an exponential generating function of correlators is calculated explicitely. The calculation relies on the Gauss decomposition for the SL_2 loop group. From the generating function a new explicit expression for the correlators is derived from which the determinant formulas for the norms of Bethe eigenfunctions due to Richardson and Gaudin are obtained.
Cite
@article{arxiv.solv-int/9708007,
title = {Generating function of correlators in the sl_2 Gaudin model},
author = {E. K. Sklyanin},
journal= {arXiv preprint arXiv:solv-int/9708007},
year = {2015}
}
Comments
16 pages, LaTex 209, macros included