Long-distance behavior of q(q)over-bar color dependent potentials at finite temperature

SU(3) heavy quark potentials at finite temperature are studied with quenched lattice QCD using the stochastic gauge-fixing method. In addition to the standard color average channel, we investigate qq potentials in singlet and octet channels. The singlet qq channel yields an attractive force, while the octet qq potential is repulsive; the corresponding color average channel also results in an attractive force. As the temperature increases, these forces become weak and their variations are very small, at T/T-c = 1.8 - 5.6, the singlet attractive force survives over R similar to 1/T. The singlet and octet potentials calculated with this algorithm have a small gauge dependence when the gauge parameter a is changed from 0.6 to 1.3.