We study the correlation functions of SU(n) n>2 invariant spin chains in the
thermodynamic limit. We formulate a consistent framework for the computation
of short-range correlation functions via functional equations which hold even
at finite temperature. We give the explicit solution for two- and three-site
correlations for the SU(3) case at zero temperature. The correlators do not
seem to be of factorizable form. From the two-sites result we see that the
correlation functions are given in terms of Hurwitz' zeta function, which
differs from the SU(2) case where the correlations are expressed in terms of
Riemann's zeta function of odd arguments.
Alexi Morin Duchesne
