  We propose a new multiple integral representation for the correlation
function <sigma_1^z sigma_{m+1}^z> of the XXZ spin-1/2 Heisenberg chain in the
disordered regime. We show that for Delta=1/2 the integrals can be separated
and computed exactly. As an example we give the explicit results up to the
lattice distance m=8. It turns out that the answer is given as integer numbers
divided by 2^[(m+1)^2].
