The Chiral Magnetic Effect and Axial Anomalies
arXiv:1207.4199 · doi:10.1007/978-3-642-37305-3_10
Abstract
We give an elementary derivation of the chiral magnetic effect based on a strong magnetic field lowest-Landau-level projection in conjunction with the well-known axial anomalies in two- and four-dimensional space-time. The argument is general, based on a Schur decomposition of the Dirac operator. In the dimensionally reduced theory, the chiral magnetic effect is directly related to the relativistic form of the Peierls instability, leading to a spiral form of the condensate, the chiral magnetic spiral. We then discuss the competition between spin projection, due to a strong magnetic field, and chirality projection, due to an instanton, for light fermions in QCD and QED. The resulting asymmetric distortion of the zero modes and near-zero modes is another aspect of the chiral magnetic effect.
33 pages, 5 figures, 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 (9)
- The Chiral Magnetic Effect
- Charge separation induced by P-odd bubbles in QCD matter
- Chiral anomaly and local polarization effect from quantum kinetic approach
- A Twisted Kink Crystal in the Chiral Gross-Neveu model
- Chiral Magnetic Spiral
- Dynamics of the Chiral Magnetic Effect in a weak magnetic field
- Chiral asymmetry and axial anomaly in magnetized relativistic matter
- Holographic chiral magnetic spiral
- Axial anomaly of QED in a strong magnetic field and noncommutative anomaly
Cited by in corpus (21)
- Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
- Anomaly related transport of Weyl fermions for Weyl semi-metals
- Deconfinement transition in two-flavour lattice QCD with dynamical overlap fermions in an external magnetic field
- Chiral Magnetic Effect in Hydrodynamic Approximation
- Anomalous Transport Due to the Conformal Anomaly
- Chiral separation and chiral magnetic effects in a slab: The role of boundaries
- Electromagnetic superconductivity of vacuum induced by strong magnetic field
- Chiral torsional effect with finite temperature, density and curvature
- Chiral asymmetry in QED matter in a magnetic field
- Holographic Dual of the Lowest Landau Level
- Dispersion of Light Traveling through the Interstellar Space, Induced and Intrinsic Lorentz Invariance Violation
- Axions and Superfluidity in Weyl Semimetals
- Chiral Waves on the Fermi-Dirac Sea: Quantum Superfluidity and the Axial Anomaly
- QCD in magnetic field, Landau levels and double-life of unbroken center-symmetry
- Anomalous plasma: chiral magnetic effect and all that
- Conserved laws and dynamical structure of axions coupled to photons
- Abelian and non-Abelian Berry curvatures in lattice QCD
- Chiral magnetic effect at finite temperature in a field-theoretic approach
- Thermal Field Theory in the Presence of a Background Magnetic Field and its Application to QCD
- Anomaly matching condition in two-dimensional systems
- Fermion self-energy in magnetized chirally asymmetric QED matter