Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-10-05
Nucl.Phys. B712 (2005) 573-599
Physics
High Energy Physics
High Energy Physics - Theory
31 pages
Scientific paper
10.1016/j.nuclphysb.2005.01.041
We show how correlation functions of the spin-1/2 Heisenberg chain without magnetic field in the anti-ferromagnetic ground state can be explicitly calculated using information contained in the quantum Knizhnik-Zamolodchikov equation [qKZ]. We find several fundamental relations which the inhomogeneous correlations should fulfill. On the other hand, it turns out that these relations can fix the form of the correlations uniquely. Actually, applying this idea, we have obtained all the correlation functions on five sites. Particularly by taking the homogeneous limit, we have got the analytic form of the fourth-neighbor pair correlator < S_j^z S_{j+4}^z >.
Boos Herman E.
Shiroishi Masahiro
Takahashi Minoru
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