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

1995/01/11 by Fabian H. L. Essler, Essler, Fabian H. L., Vladimir E. Korepin +1
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #nlin.SI #solv-int

paper · pdf · doi:10.48550/arxiv.solv-int/9501003

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

arxiv created 1995/01/11 · arxiv updated 2009/11/30

Abstract

We study zero temperature correlation functions of the spin-1\over 2 Heisenberg XXZ model in the critical regime -1< Δ≤ 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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