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Generating function of correlators in the sl2 Gaudin model

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JournalLetters in Mathematical Physics
DatePublished - Feb 1999
Issue number3
Volume47
Number of pages18
Pages (from-to)275-292
Original languageEnglish

Abstract

An exponential generating function of correlators is calculated explicitly for the sl2 Gaudin model (degenerated quantum integrable XXX spin chain). The calculation relies on the Gauss decomposition for the SL(2) loop group. A new explicit expression for the correlators is derived from the generating function, from which the determinant formulas for the norms of Bethe eigenfunctions due to Richardson and Gaudin are obtained.

    Research areas

  • Quantum integrable models;, correlators;, Gaudin model;, Loop Lie algebras;

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