Pair Creation of Massless Fermions in Electric Flux Tube

Abstract

Using chiral anomaly, we discuss the pair creation of massless fermions in an electric flux tube $\vec{E}$ under homogeneous magnetic field $\vec{B}$ parallel to $\vec{E}$. The tube is axial symmetric and infinitely long in longitudinal direction. In the limit $B\gg E$, we can analytically obtain the spatial and temporal behaviors of the electric field and azimuthal magnetic field generated by the produced fermions. We find that the life time $t_c$ of the electric field is shorter as the width of the tube is narrower. Applying it to the glasma in high-energy heavy-ion collisions, we find that color electric field decays fast such as $t_c\simeq Q_s^{-1}$ with saturation momentum $Q_s$.

6 pages, 4 figures

References in corpus (7)

• The Chiral Magnetic Effect
• Some Features of the Glasma
• Bottom-up isotropization in classical-statistical lattice gauge theory
• Expanding color flux tubes and instabilities
• Instabilities in non-expanding glasma
• Decay of Color Gauge Fields in Heavy Ion Collisions and Nielsen-Olesen Instability
• Thermalization of Color Gauge Fields in High Energy Heavy Ion Collisions

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• Temporal Chiral Spiral in Strong Magnetic Fields
• Chiral Symmetry Breaking by Monopole Condensation
• Anomalous Gluon Production and Condensation in Glasma
• Quark Pair Production in Expanding Glasma
• Schwinger Mechanism with Energy Dissipation in Glasma
• Energy spectrum of simply constant chromoelectric flux tubes
• Chiral Symmetry Breaking by Monopole Condensation