Operator-valued Riemann-Hilbert problem for correlation functions of the XXZ spin chain
Yasuhiro Fujii, Miki Wadati
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.
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