Views of the Chiral Magnetic Effect

Abstract

My personal views of the Chiral Magnetic Effect are presented, which starts with a story about how we came up with the electric-current formula and continues to unsettled subtleties in the formula. There are desirable features in the formula of the Chiral Magnetic Effect but some considerations would lead us to even more questions than elucidations. The interpretation of the produced current is indeed very non-trivial and it involves a lot of confusions that have not been resolved.

19 pages, no figure; typos corrected, references significantly updated, to appear in Lect. Notes Phys. "Strongly interacting matter in magnetic fields" (Springer), edited by D. Kharzeev, K. Landsteiner, A. Schmitt, H.-U. Yee

References in corpus (18)

• The Chiral Magnetic Effect
• Event-by-event anisotropic flow in heavy-ion collisions from combined Yang-Mills and viscous fluid dynamics
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Chiral Kinetic Theory
• Chiral Magnetic Wave
• Chiral Magnetic conductivity
• Chiral anomaly and local polarization effect from quantum kinetic approach
• Axial anomaly and magnetism of nuclear and quark matter
• Color-flavor locked superconductor in a magnetic field
• Color superconducting matter in a magnetic field
• Chiral magnetic effect in lattice QCD with a chiral chemical potential
• Fluid/gravity model for the chiral magnetic effect
• Chiral Magnetic Spiral
• Wess-Zumino-Witten action and photons from the Chiral Magnetic Effect
• Chiral asymmetry of the Fermi surface in dense relativistic matter in a magnetic field
• On chiral magnetic effect and holography
• A chiral magnetic spiral in the holographic Sakai-Sugimoto model
• Chiral superfluidity of the quark-gluon plasma

Cited by in corpus (50)

• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Electromagnetic fields and anomalous transports in heavy-ion collisions --- A pedagogical review
• Anomaly related transport of Weyl fermions for Weyl semi-metals
• Novel quantum phenomena induced by strong magnetic fields in heavy-ion collisions
• Anomalous transport effects and possible environmental symmetry "violation" in heavy ion collisions
• Quantifying Chiral Magnetic Effect from Anomalous-Viscous Fluid Dynamics
• Weak decay constant of neutral pions in a hot and magnetized quark matter
• Extreme matter in electromagnetic fields and rotation
• A New Correlator to Detect and Characterize the Chiral Magnetic Effect
• Heavy Quark Potential in a static and strong homogeneous magnetic field
• Strong-Field Physics in QED and QCD: From Fundamentals to Applications
• Anomalous Transport in Holographic Boundary Conformal Field Theories
• General structure of gauge boson propagator and its spectra in a hot magnetized medium
• Frequency dependence of the Chiral Vortical Effect
• Renormalized vs Nonrenormalized Chiral Transition in a Magnetic Background
• Local CP-violation and electric charge separation by magnetic fields from lattice QCD
• Dynamics of QCD Matter -- current status
• $\rho$ condensation and physical parameters
• Simulating the Chiral Magnetic Wave in a Box System
• Examination of the observability of a chiral magnetically-driven charge-separation difference in collisions of the ${}_{44}^{96}\mathrm{Ru}+{}_{44}^{96}\mathrm{Ru}$ and ${}_{40}^{96}\mathrm{Zr}+{}_{40}^{96}\mathrm{Zr}$ isobars at energies available at RHIC
• Resummation for the Field-theoretical Derivation of the Negative Magnetoresistance
• Spontaneous magnetization of quark matter in the inhomogeneous chiral phase
• Light pseudo-scalar meson masses under strong magnetic fields within the SU(3) Nambu-Jona-Lasinio model
• Chiral Charge Erasure via Thermal Fluctuations of Magnetic Helicity
• Chiral asymmetry in QED matter in a magnetic field
• Non-Abelian Anomalous (Super)Fluids in Thermal Equilibrium from Differential Geometry
• A numerical evaluation of vacuum polarization tensor in constant external magnetic fields
• Second-order quark number susceptibility of deconfined QCD matter in the presence of a magnetic field
• Anomalous Currents and Constitutive Relations of a Chiral Hadronic Superfluid
• Chiral Waves on the Fermi-Dirac Sea: Quantum Superfluidity and the Axial Anomaly
• Functional renormalization group study of the Nambu--Jona-Lasinio model at finite temperature and density in an external magnetic field
• Chiral Torsional Effects in Anomalous Fluids in Thermal Equilibrium
• Anomalous Current Due to Weyl Anomaly for Conformal Field Theory
• Baryonic matter and beyond
• A sensitivity study of the primary correlators used to characterize chiral-magnetically-driven charge separation
• Anomalous plasma: chiral magnetic effect and all that
• An extended $R_{{\Psi }_m}^{(2)}(\Delta S_2)$ correlator for detecting and characterizing the Chiral Magnetic Wave
• Note on anomalous currents for a free theory
• Chiral current induced by torsional Weyl anomaly
• Holographic Anomalous Chiral Current Near a Boundary
• Chiral effects in classical spinning gas
• Abelian and non-Abelian Berry curvatures in lattice QCD
• Thermal Field Theory in the Presence of a Background Magnetic Field and its Application to QCD
• Holographic Anomalous Current at a Finite Temperature
• Anomalous Strangeness Transport
• Charged Dirac fermions with anomalous magnetic moment in the presence of the chiral magnetic effect and of a noncommutative phase space
• Fermion self-energy in magnetized chirally asymmetric QED matter
• Quantification of the Chiral Magnetic Effect in Au+Au collisions at $\sqrt{s_{\mathrm{NN}}}=200$ GeV
• Enhancement of Anomalous Boundary Current by High Temperature
• Spontaneous Magnetization of Quark Matter in Inhomogeneous Chiral Phase