Pair Creation of Quarks in Electric Flux Tube

We discuss the pair production of massless fermions under the flux tube of electric field $\vec{E}$ and homogeneous magnetic field $\vec{B}$, using the formula of chiral anomaly. The tube of the electric field is finite in transverse directions but infinitely long in longitudinal direction. In the limit of $B\gg E$, we can analytically obtain the spatial and temporal behaviors of the electric field and transverse magnetic field generated by currents of the produced particles. We find that the life time $t_c$ of the electric field is shorter as the width of the tube is narrower. Applying the result to the glasma in high-energy heavy-ion collisions, we find that $t_c\simeq 7Q_s^{-1}$ with saturation momentum $Q_s$.