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arxiv: 0710.0504 · v1 · submitted 2007-10-02 · ✦ hep-lat

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

classification ✦ hep-lat
keywords classicallooptheorygaugeheavylatticepotentialquarkonium
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We present an estimate for the imaginary part of the recently introduced finite temperature real-time static potential. It can be extracted from the time evolution of the Wilson loop in classical lattice gauge theory. The real-time static potential determines, through a Schroedinger-type equation and a subsequent Fourier-transform of its solution, the spectral function of heavy quarkonium in finite-temperature QCD. We also compare the results of the classical simulations with those of Hard Thermal Loop improved simulations, as well as with analytic expectations based on resummed perturbation theory.

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