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Real-time lattice simulations of quark production in heavy-ion collisions
In the high-energy limit of heavy-ion collisions, the system right after a collision is described as an over-occupied gluon plasma expanding in the beam direction. Its space-time evolution can be studied by means of real-time classical-statistical simulations of Yang-Mills equation. To find observable consequences of such nonequilibrium evolution, the understanding of quark dynamics is crucial since quarks couple to electromagnetic probes. I will discuss how quantum dynamics of quark fields can be embedded in classical-statistical simulations, and show numerical results for quark production in the over-occupied gluon plasma.