Correlation functions of the integrable $SU(n)$ spin chain

Understand

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.