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Inter-quark potentials at finite temperature are derived from Nambu-Bethe-Salpeter (NBS) amplitudes. Employing the formalism developed by Laine et al. and Beraudo et al., we calculate the Q̄Q potentials with finite quark masses in imaginary-time. The extracted potentials show Coulomb plus linear behavior, and have moderate temperature dependence below Tc. On the other hand, the potential considerably changes and becomes flat at long distance above Tc. Although our potential is obtained in imaginary-time, it is expected that the obtained potential is a natural extension of potentials from the Polyakov loop correlations.

Inter-quark potentials from NBS amplitudes and their applications