Electromagnetic field and the chiral magnetic effect in the quark-gluon plasma

Abstract

Time evolution of electromagnetic field created in heavy-ion collisions strongly depends on the electromagnetic response of the quark-gluon plasma, which can be described by the Ohmic and chiral conductivities. The later is intimately related to the Chiral Magnetic Effect. I argue that a solution to the classical Maxwell equations at finite chiral conductivity is unstable due to the soft modes $k<{\sigma }_{\chi }$ that grow exponentially with time. In the kinematical region relevant for the relativistic heavy-ion collisions, I derive analytical expressions for the magnetic field of a point charge. I show that finite chiral conductivity causes oscillations of magnetic field at early times.

13 pages, 3 figures; v2: improved presentation, typos fixed, v3: a mistake in Eq. (62) is fixed

References in corpus (12)

• The Chiral Magnetic Effect
• Charge separation induced by P-odd bubbles in QCD matter
• Some Features of the Glasma
• Chiral Magnetic conductivity
• Magnetohydrodynamics, charged currents and directed flow in heavy ion collisions
• Spectral functions at small energies and the electrical conductivity in hot, quenched lattice QCD
• Synchrotron radiation by fast fermions in heavy-ion collisions
• The Role of the Electron Mass in Damping Chiral Magnetic Instability in Supernova and Neutron Stars
• Electromagnetic response of quark-gluon plasma in heavy-ion collisions
• Chiral Langevin theory for non-Abelian plasmas
• Maxwell-Chern-Simons Hydrodynamics for the Chiral Magnetic Effect
• Topological order and Berry connection for the Maxwell Vacuum on a four-torus

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