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Schwinger Mechanism with Energy Dissipation in Glasma

Initial states of glasma in high energy heavy ion collisions are longitudinal classical color electric and magnetic fields. Assuming finite color electric conductivity, we show that the color electric field decays by quark pair production with the life time of the order of $Q_s^{-1}$, i.e. the inverse of the saturation momentum. Quarks and anti-quarks created in the pair production are immediately thermalized as far as their temperature $β^{-1}$ is lower than $Q_s$. Namely, a relaxation time of the quarks to be thermalized is much shorter than $Q_s^{-1}$ when $β^{-1} \ll Q_s$. We also show that the quarks acquire longitudinal momentum of the order of $Q_s$ by the acceleration of the electric field. To discuss the quark pair production, we use chiral anomaly which has been shown to be very powerful tool in the presence of strong magnetic field.