Operator-valued Riemann-Hilbert problem for correlation functions of the XXZ spin chain

Abstract

The generating functional of correlation functions for the XXZ spin chain is considered in the thermodynamic limit. We derive a system of integro-difference equations that prescribe this functional. On the basis of this system we establish the operator-valued Riemann-Hilbert problem for correlation functions of the XXZ spin chain.

12 pages, LaTeX2e (+ amssymb, amsthm); to appear in J. Phys. A

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