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Dual Field Approach to Correlation Functions in the Heisenberg Xxz Spin Chain

Fabian H. L. Essler·Vladimir E. Korepin
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Abstract

We study zero temperature correlation functions of the spin-$1\over 2$ Heisenberg XXZ model in the critical regime $-1< Δ\leq 1$ 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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Fabian H. L. Essler, Vladimir E. Korepin. 1995-01-11. Dual Field Approach to Correlation Functions in the Heisenberg Xxz Spin Chain. https://arxiv.org/abs/solv-int/9501003

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