Abstract
The calculations of thermal single-gluon exchange potential for heavy quarkonium in Feynman and Coulomb gauges are presented, and the comparisons between them and the hard thermal loop approximation ones which were first calculated by Laine et al. are illustrated. The numerical results show that the hard thermal loop thermal single-gluon exchange potential (especially its imaginary part) which used in many researches make some errors in the practical calculations at the temperature range accessible in the present experiment, and the problem of gauge dependent cannot be avoided when the complete self energy is used in the derivation of potential.
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