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Generating function of correlators in the sl_2 Gaudin model

E. K. Sklyanin
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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.

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E. K. Sklyanin. 1997-08-18. Generating function of correlators in the sl_2 Gaudin model. https://doi.org/10.1023/a%3A1007585716273

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