 02405 H.E. Boos , V.E. Korepin, F.A. Smirnov
 Emptiness Formation Probability and Quantum KnizhnikZamolodchikov
Equation
(66K, LTEX)
Sep 30, 02

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

Abstract. We consider the onedimensional
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
groundstate. 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.
 Files:
02405.src(
02405.comments ,
02405.keywords ,
paper.tex )