Emptiness Formation Probability and Quantum Knizhnik-Zamolodchikov Equation

Details Emptiness Formation Probability and Quantum Knizhnik-Zamolodchikov Equation Emptiness Formation Probability and Quantum Knizhnik-Zamolodchikov Equation

2002-09-27

arxiv.org/abs/hep-th/0209246v2

Nucl.Phys. B658 (2003) 417-439

Physics

High Energy Physics

High Energy Physics - Theory

LATEX file, 23 pages, 21 references

Scientific paper

10.1016/S0550-3213(03)00153-6

We consider the one-dimensional XXX spin 1/2 Heisenberg antiferromagnet at zero temperature and zero magnetic field. We are interested in a probability of formation of a ferromagnetic string in the antiferromagnetic ground-state. We call it emptiness formation probability [EFP]. We suggest a new technique for computation of EFP in the inhomogeneous case. It is based on quantum Knizhnik-Zamolodchikov equation. We evalauted EFP for strings of the length six in the inhomogeneous case. The homogeneous limit confirms our hypothesis about the relation of quantum correlations to number theory. We also make a conjecture about a general structure of EFP for arbitrary lenght of the string \.

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