Generating function of correlators in the sl_2 Gaudin model

Details Generating function of correlators in the sl_2 Gaudin model Generating function of correlators in the sl_2 Gaudin model

1997-08-18

arxiv.org/abs/solv-int/9708007v1

Lett.Math.Phys.47:275-292,1999

Nonlinear Sciences

Exactly Solvable and Integrable Systems

16 pages, LaTex 209, macros included

Scientific paper

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.

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