Heavy quarkonium's relative motion in the quark-gluon plasma can be evolved with a Lindblad master equation whose stochastic unraveling includes drag, and in one-dimensional simulations the pair thermalizes with a temperature close to the medium's.
Static $\bar{Q}Q$ pair free energy and screening masses from correlators of Polyakov loops: continuum extrapolated lattice results at the QCD physical point
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abstract
We study the correlators of Polyakov loops, and the corresponding gauge invariant free energy of a static quark-antiquark pair in 2+1 flavor QCD at finite temperature. Our simulations were carried out on $N_t$ = 6, 8, 10, 12, 16 lattices using Symanzik improved gauge action and a stout improved staggered action with physical quark masses. The free energies calculated from the Polyakov loop correlators are extrapolated to the continuum limit. For the free energies we use a two step renormalization procedure that only uses data at finite temperature. We also measure correlators with definite Euclidean time reversal and charge conjugation symmetry to extract two different screening masses, one in the magnetic, and one in the electric sector, to distinguish two different correlation lengths in the full Polyakov loop correlator.
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Quantum Brownian motion of a heavy quark pair in the quark-gluon plasma
Heavy quarkonium's relative motion in the quark-gluon plasma can be evolved with a Lindblad master equation whose stochastic unraveling includes drag, and in one-dimensional simulations the pair thermalizes with a temperature close to the medium's.