Bootstrap equations and correlation functions for the Heisenberg XYZ antiferromagnet

Details Bootstrap equations and correlation functions for the Heisenberg XYZ antiferromagnet Bootstrap equations and correlation functions for the Heisenberg XYZ antiferromagnet

2002-06-25

arxiv.org/abs/hep-th/0206224v3

J.Phys.A35:9549-9572,2002

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, LaTex2e; A reference is added and a few errors are corrected

Scientific paper

10.1088/0305-4470/35/45/305

Presented are two kinds of integral solutions to the quantum Knizhnik-Zamolodchikov equations for the 2n-point correlation functions of the Heisenberg XYZ antiferromagnet. Our first integral solution can be obtained from those for the cyclic SOS model by using the vertex-face correspondence. By the construction, the sum with respect to the local height variables k_0, k_1, >..., k_{2n} of the cyclic SOS model remains other than n-fold integral in the first solution. In order to perform those summations, we improve that to find the second integral solution of (r+1)n-fold integral for r in Z_{>1}, where r is a parameter of the XYZ model. Furthermore, we discuss the relations among our formula, Lashkevich-Pugai's formula and Shiraishi's one.

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