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We present an estimate for the imaginary part of the recently introducedfinite temperature real-time static potential. It can be extracted from thetime evolution of the Wilson loop in classical lattice gauge theory. Thereal-time static potential determines, through a Schroedinger-type equation anda subsequent Fourier-transform of its solution, the spectral function of heavyquarkonium in finite-temperature QCD. We also compare the results of theclassical simulations with those of Hard Thermal Loop improved simulations, aswell as with analytic expectations based on resummed perturbation theory.

Wilson Loop in Classical Lattice Gauge Theory and the Thermal Width of Heavy Quarkonium