 03224 Hermann Boos, Vladimir Korepin and Feodor Smirnov
 New formulae for solutions of quantum KnizhnikZamolodchikov
equations on level 4 and correlation functions.
(355K, PostScipt)
May 17, 03

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Abstract. This paper is continuation of our previous papers hepth/0209246 and
hepth/0304077.
We discuss in more detail
a new form of solution to the quantum KnizhnikZamolodchikov
equation [qKZ] on level 4 obtained in the paper hepth/0304077
for the Heisenberg XXX spin chain. The main advantage of this
form is it's explicit reducibility to onedimensional integrals.
We argue that the deep mathematical reason for this is some
special cohomologies of deformed Jacobi varieties.
We apply this new form of solution
to the correlation functions using the JimboMiwa conjecture.
A formula (46) for the correlation functions obtained in this way
is in a good agreement with the ansatz for the emptiness formation
probability from the paper hepth/0209246.
Our previous conjecture on a structure of correlation functions of
the XXX model in the homogeneous limit through the Riemann zeta functions
at odd arguments is a corollary of this formula.
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