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QKZ equation with |q|=1 and correlation functions of the XXZ model in the gapless regime

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arxiv hep-th/9601135 v1 pith:K4K7XVTA submitted 1996-01-25 hep-th

QKZ equation with |q|=1 and correlation functions of the XXZ model in the gapless regime

classification hep-th
keywords correlationequationfunctionsgaplessmodelregimearbitrarycases
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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An integral solution to the quantum Knizhnik-Zamolodchikov ($q$KZ) equation with $|q|=1$ is presented. Upon specialization, it leads to a conjectural formula for correlation functions of the XXZ model in the gapless regime. The validity of this conjecture is verified in special cases, including the nearest neighbor correlator with an arbitrary coupling constant, and general correlators in the XXX and XY limits.

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