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

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

1995-01-11

arxiv.org/abs/solv-int/9501003v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

19 pages LaTeX, to appear in the proceedings of SMQFT, Los Angeles 1994

Scientific paper

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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