The study of the dynamics of quarkonia in quark-gluon plasma
requires theoretical inputs from the nonperturbative regime of QCD.
If the $Q \bar{Q}$ separation $r \ll 1/T$, the
inverse temperature, then the interaction of the $Q \bar{Q}$ pair with the medium
can be written as a dipole interaction $r.E$, which can be studied from the
thermal correlators of the color electric field.
We report here a study of the thermal correlators of the color
electric field in a gluon plasma in two color configurations, relevant for
singlet-to-octet and octet-to-octet transitions. We present results at
1.5 $T_c$ and a high temperature, $10^4 \, T_c$. At the higher temperature,
the lattice correlators agree, within errors, with a NLO perturbation theory
calculation.

