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We analyze heavy quark free energies in 2-flavor QCD at finite temperatureand the corresponding heavy quark potential at zero temperature. Static quarkanti-quark sources in color singlet, octet and color averaged channels are usedto probe thermal modifications of the medium. The temperature dependence of therunning coupling, $\alpha_{qq}(r,T)$, is analyzed at short and large distancesand is compared to zero temperature as well as quenched calculations. In partswe also compare our results to recent findings in 3-flavor QCD. We find thatthe characteristic length scale below which the running coupling shows almostno temperature dependence is almost twice as large as the Debye screeningradius. Our analysis supports recent findings which suggest that $\chi_c$ and$\psi\prime$ are suppressed already at the (pseudo-) critical temperature andthus give a probe for quark gluon plasma production in heavy ion collisionexperiments, while $J/\psi$ may survive the transition and will dissolve athigher temperatures.Comment: 16 pages, 15 encapsulated postscript figures, revtex

Static quark-antiquark interactions in zero and finite temperature QCD: I. Heavy quark free energies, running coupling, and quarkonium binding