Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-07-29
Nucl.Phys. B729 (2005) 441-466
Physics
High Energy Physics
High Energy Physics - Theory
40 pages, 1 eps figures
Scientific paper
10.1016/j.nuclphysb.2005.08.045
Analytical expressions of some of the spin-spin correlation functions up to eight lattice sites for the spin-1/2 anti-ferromagnetic Heisenberg chain at zero temperature without magnetic field are obtained. The key object of our method is the generating function of two-point spin-spin correlators, whose functional relations are derived from those for general inhomogeneous correlation functions previously obtained from the quantum Knizhnik-Zamolodchikov equations. We show how the generating functions are fully determined by their functional relations, which leads to the two-point spin-spin correlators. The obtained analytical results are numerically confirmed by the exact diagonalization for finite systems.
Sato Jun
Shiroishi Masahiro
Takahashi Minoru
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