H.E. Boos , V.E. Korepin, F.A. Smirnov
Emptiness Formation Probability and Quantum Knizhnik-Zamolodchikov 
Equation
(66K, LTEX)

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