Chiral magnetic response to arbitrary axial imbalance
arXiv:1911.00933 · doi:10.1103/PhysRevD.101.076026
Abstract
The response of chiral fermions to time and space dependent axial imbalance & constant magnetic field is analyzed. The axialvector-vector-vector (AVV) three-point function is studied using a real-time approach at finite temperature in the weak external field approximation. The chiral magnetic conductivity is given analytically for noninteracting fermions. It is pointed out that local charge conservation plays an important role when the axial imbalance is inhomogeneous. Proper regularization is needed which makes the constant axial imbalance limit delicate: for static but spatially oscillating chiral charge the current of the chiral magnetic effect (CME) vanishes. In the homogeneous (but possible time-dependent) limit of the axial imbalance the CME current is determined solely by the chiral anomaly. As a phenomenological consequence, the observability of the charge asymmetry caused by the CME turns out to be a matter of interplay between various scales of the system. Possible plasma instabilities resulting from the gradient corrections to the CME current are also pointed out.
arXiv comment21 pages, 5 figures. v2: substantial changes of text, fig. 3 updated, practically matches journal version
References in corpus (54)
- The Chiral Magnetic Effect
- The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
- Observation of the chiral anomaly induced negative magneto-resistance in 3D Weyl semi-metal TaAs
- Negative magnetoresistance without well-defined chirality in the Weyl semimetal TaP
- Observation of the chiral magnetic effect in ZrTe5
- Hydrodynamics with Triangle Anomalies
- Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
- Azimuthal Charged-Particle Correlations and Possible Local Strong Parity Violation
- Negative Magnetoresistance in Dirac Semimetal Cd3As2
- "Strongly interacting matter in magnetic fields": an overview
- Observation of charge-dependent azimuthal correlations and possible local strong parity violation in heavy ion collisions
- Chiral Magnetic conductivity
- Notes on Anomaly Induced Transport
- Elastic Gauge Fields in Weyl Semimetals
- Chiral Plasma Instabilities
- Topologically induced local P and CP violation in QCD x QED
- Azimuthally fluctuating magnetic field and its impacts on observables in heavy-ion collisions
- Nonlinear Responses of Chiral Fluids from Kinetic Theory
- Complete and Consistent Chiral Transport from Wigner Function Formalism
- Anomalous Chiral Transport in Heavy Ion Collisions from Anomalous-Viscous Fluid Dynamics
- Generalized Bloch theorem and chiral transport phenomena
- Holographic Chiral Magnetic Conductivity
- Anomalous transport coefficients from Kubo formulas in Holography
- Quantifying Chiral Magnetic Effect from Anomalous-Viscous Fluid Dynamics
- Electromagnetic field and the chiral magnetic effect in the quark-gluon plasma
- Consistent Chiral Kinetic Theory in Weyl Materials: Chiral Magnetic Plasmons
- Extreme matter in electromagnetic fields and rotation
- New nonrenormalization theorems for anomalous three point functions
- Absence of equilibrium chiral magnetic effect
- Anomalous Maxwell equations for inhomogeneous chiral plasma
- Wess-Zumino-Witten action and photons from the Chiral Magnetic Effect
- Non-equilibrium Chiral Magnetic/Vortical Effects in Viscous Fluids
- Covariant chiral kinetic equation in Wigner function approach
- Holographic quenches and anomalous transport
- Chiral anomaly induced negative magnetoresistance in topological Weyl semimetal NbAs
- Some Field Theoretic Issues Regarding the Chiral Magnetic Effect
- Anatomy of chiral magnetic effect in and out of equilibrium
- Axial Ward identity and the Schwinger mechanism -- Applications to the real-time chiral magnetic effect and condensates
- Anomalous transport properties of Dirac and Weyl semimetals
- Chiral Langevin theory for non-Abelian plasmas
- Consistent hydrodynamic theory of chiral electrons in Weyl semimetals
- Chiral Magnetic Effect at Weak Coupling with Relaxation Dynamics
- Origin of Bardeen-Zumino current in lattice models of Weyl semimetals
- Hydrodynamic electron flow in a Weyl semimetal slab: Role of Chern-Simons terms
- The Subtleties of the Wigner Function Formulation of the Chiral Magnetic Effect
- Nonlocal transport in Weyl semimetals in the hydrodynamic regime
- Second Order Transport Coefficient from Chiral Anomaly at Weak Coupling: Diagrammatic Resummation
- The QED Radiative Corrections to Chiral Magnetic Effect
- Out of equilibrium chiral magnetic effect and momentum relaxation in holography
- Wigner function and kinetic phenomena for chiral plasma in a strong magnetic field
- Chiral transport in strong fields from holography
- Gradient resummation for nonlinear chiral transport: an insight from holography
- Anomalous transport model with axial magnetic fields
- Momentum Space Topology and Non-Dissipative Currents
Cited by in corpus (12)
- Chiral magnetic effect reveals the topology of gauge fields in heavy-ion collisions
- Foundations and Applications of Quantum Kinetic Theory
- Zilch Vortical Effect, Berry Phase, and Kinetic Theory
- Causality and stability in relativistic viscous non-resistive magneto-fluid dynamics
- Chiral Magnetic Effect in Heavy Ion Collisions: The Present and Future
- Chirality Production with Mass Effects-Schwinger Pair Production and the Axial Ward Identity
- Torsion-induced chiral magnetic current in equilibrium
- On the absence of the Chiral Magnetic Effect in equilibrium QCD
- Chiral Magnetic Effect and Three-point Function from AdS/CFT Correspondence
- Strongly interacting matter in extreme magnetic fields
- Magnetic monopole in a chiral plasma: chiral dyon
- Localized Chiral Magnetic Effect in equilibrium QCD