Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-02-17
JHEP 0905:014,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
22 pages. v2: a reference and clarifications added; published version
Scientific paper
10.1088/1126-6708/2009/05/014
Thermalization of a heavy quark near rest is controlled by the correlator of two electric fields along a temporal Wilson line. We address this correlator within real-time, classical lattice Yang-Mills theory, and elaborate on the analogies that exist with the dynamics of hot QCD. In the weak-coupling limit, it can be shown analytically that the dynamics on the two sides are closely related to each other. For intermediate couplings, we carry out non-perturbative simulations within the classical theory, showing that the leading term in the weak-coupling expansion significantly underestimates the heavy quark thermalization rate. Our analytic and numerical results also yield a general understanding concerning the overall shape of the spectral function corresponding to the electric field correlator, which may be helpful in subsequent efforts to reconstruct it from Euclidean lattice Monte Carlo simulations.
Laine Mikko
Moore Guy D.
Philipsen Owe
Tassler Marcus
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