Generating function of correlators in the sl2 Gaudin model

Evgeni Sklyanin

doi:10.1023/A:1007585716273

Generating function of correlators in the sl₂ Gaudin model

Evgeni Sklyanin

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	275-292
Number of pages	18
Journal	Letters in Mathematical Physics
Volume	47
Issue number	3
DOIs	https://doi.org/10.1023/A:1007585716273
Publication status	Published - Feb 1999

Keywords

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

Access to Document

10.1023/A:1007585716273

http://arxiv.org/abs/solv-int/9708007

Cite this

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title = "Generating function of correlators in the sl2 Gaudin model",

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.",

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KW - Quantum integrable models;

KW - correlators;

KW - Gaudin model;

KW - Loop Lie algebras;

U2 - 10.1023/A:1007585716273

DO - 10.1023/A:1007585716273

M3 - Article

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JF - Letters in Mathematical Physics

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