Correlation functions of the higher spin XXX chains

Details Correlation functions of the higher spin XXX chains Correlation functions of the higher spin XXX chains

2001-04-11

arxiv.org/abs/math-ph/0104016v4

2001 J. Phys. A: Math. Gen. 34 8151

Physics

Mathematical Physics

LaTeX, 23 pages, replaced with a revised version

Scientific paper

10.1088/0305-4470/34/39/314

Using the Algebraic Bethe Ansatz we consider the correlation functions of the integrable higher spin chains. We apply a method recently developed for the spin $\frac 12$ Heisenberg chain, based on the solution of the quantum inverse problem. We construct a representation for the correlation functions on a finite chain for arbitrary spin. Then we show how the string solutions of the Bethe equations can be considered in the framework of this approach in the thermodynamic limit. Finally, a multiple integral representation for the spin 1 zero temperature correlation functions is obtained in the thermodynamic limit.

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