dorsal/arxiv
View SchemaDual Field Approach to Correlation Functions in the Heisenberg Xxz Spin Chain
| Authors | Fabian H. L. Essler, Vladimir E. Korepin |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9501003 |
| URL | https://arxiv.org/abs/solv-int/9501003 |
Abstract
We study zero temperature correlation functions of the spin-$1\over 2$ Heisenberg XXZ model in the critical regime $-1< \Delta\leq 1$ in a magnetic field by means of the {\tenit Dual Field Approach}. We show for one particular example how to derive determinant representations for correlation functions and how to use these to embed the correlation functions in integrable systems of integro-difference equations (IDE). These IDE are associated with a Riemann-Hilbert problem.
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"abstract": "We study zero temperature correlation functions of the spin-$1\\over 2$\nHeisenberg XXZ model in the critical regime $-1\u003c \\Delta\\leq 1$ in a magnetic\nfield by means of the {\\tenit Dual Field Approach}. We show for one particular\nexample how to derive determinant representations for correlation functions and\nhow to use these to embed the correlation functions in integrable systems of\nintegro-difference equations (IDE). These IDE are associated with a\nRiemann-Hilbert problem.",
"arxiv_id": "solv-int/9501003",
"authors": [
"Fabian H. L. Essler",
"Vladimir E. Korepin"
],
"categories": [
"solv-int",
"nlin.SI"
],
"title": "Dual Field Approach to Correlation Functions in the Heisenberg Xxz Spin Chain",
"url": "https://arxiv.org/abs/solv-int/9501003"
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