dorsal/arxiv
View SchemaGenerating function of correlators in the sl_2 Gaudin model
| Authors | E. K. Sklyanin |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9708007 |
| URL | https://arxiv.org/abs/solv-int/9708007 |
| DOI | 10.1023/A:1007585716273 |
| Journal | Letters in Mathematical Physics 47 (1999) 275-292 |
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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"abstract": "For the sl_2 Gaudin model (degenerated quantum integrable XXX spin chain) an\nexponential generating function of correlators is calculated explicitely. The\ncalculation relies on the Gauss decomposition for the SL_2 loop group. From the\ngenerating function a new explicit expression for the correlators is derived\nfrom which the determinant formulas for the norms of Bethe eigenfunctions due\nto Richardson and Gaudin are obtained.",
"arxiv_id": "solv-int/9708007",
"authors": [
"E. K. Sklyanin"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1023/A:1007585716273",
"journal_ref": "Letters in Mathematical Physics 47 (1999) 275-292",
"title": "Generating function of correlators in the sl_2 Gaudin model",
"url": "https://arxiv.org/abs/solv-int/9708007"
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