Dual Field Approach to Correlation Functions in the Heisenberg Xxz Spin Chain
solv-int
2008-02-03 v1 Exactly Solvable and Integrable Systems
Abstract
We study zero temperature correlation functions of the spin- Heisenberg XXZ model in the critical regime 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.
Keywords
Cite
@article{arxiv.solv-int/9501003,
title = {Dual Field Approach to Correlation Functions in the Heisenberg Xxz Spin Chain},
author = {Fabian H. L. Essler and Vladimir E. Korepin},
journal= {arXiv preprint arXiv:solv-int/9501003},
year = {2008}
}
Comments
19 pages LaTeX, to appear in the proceedings of SMQFT, Los Angeles 1994