Nonlinear electromagnetic response in quark-gluon plasma

Abstract

We perform the first systematic study of the nonlinear electromagnetic currents induced by external electromagnetic field in quark-gluon plasma, both in the two cases that the inhomogeneity of electromagnetic field is small (large) so that the collision effect is important (negligible). In the former case, we list and classify possible components of the currents in a systematic way, and make an order estimate of each component by using the Boltzmann equation in the relaxation time approximation. In the latter case, we explicitly calculate the quadratic current by using the Vlasov equation, and find that the current generated by the chiral magnetic effect and the quadratic current can have the same order of magnitude by using the Kadanoff-Baym equation. We also demonstrate this property by using a possible configuration of electromagnetic field realized in heavy ion collision.

12 pages, 4 figures

References in corpus (10)

• The Chiral Magnetic Effect
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Quantum Anomalies in Dense Matter
• Chiral Magnetic conductivity
• Spectral functions at small energies and the electrical conductivity in hot, quenched lattice QCD
• Magnetic-Field-Induced insulator-conductor transition in SU(2) quenched lattice gauge theory
• Synchrotron radiation by fast fermions in heavy-ion collisions
• On the Charge Separation Effect in Relativistic Heavy Ion Collisions
• Quantum Electrodynamical Photon Splitting in Magnetized Nonlinear Pair Plasmas
• Chiral Magnetic Effect at Weak Coupling with Relaxation Dynamics

Cited by in corpus (4)

• Electrical Conductivity of Quark-Gluon Plasma in Strong Magnetic Fields
• Revisit to electrical and thermal conductivities, Lorenz number and Knudsen number in thermal QCD in a strong magnetic field
• Electrical Conductivity of Dense Quark Matter with Fluctuations and Magnetic Field Included
• Longitudinal conductivity of hot magnetized collisional QCD medium in the inhomogeneous electric field