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

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

1996-01-25

arxiv.org/abs/hep-th/9601135v1

J.Phys.A29:2923-2958,1996

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1088/0305-4470/29/12/005

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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