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

Jan, 1996
47 pages
Published in:
  • J.Phys.A 29 (1996) 2923-2958
e-Print:
Report number:
  • RIMS-1058

Citations per year

19962003201020172024024681012
Abstract:
An integral solution to the quantum Knizhnik-Zamolodchikov (qqKZ) equation with q=1|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.
Note:
  • Dedicated to the memory of Claude Itzykson