Generating function of correlators in the sl_2 Gaudin model
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.
- Publication:
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arXiv e-prints
- Pub Date:
- August 1997
- DOI:
- 10.48550/arXiv.solv-int/9708007
- arXiv:
- arXiv:solv-int/9708007
- Bibcode:
- 1997solv.int..8007S
- Keywords:
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- Nonlinear Sciences - Exactly Solvable and Integrable Systems
- E-Print:
- 16 pages, LaTex 209, macros included