Holographic Anomalous Conductivities and the Chiral Magnetic Effect
arXiv:1005.2587 · doi:10.1007/JHEP02(2011)110
Abstract
We calculate anomaly induced conductivities from a holographic gauge theory model using Kubo formulas, making a clear conceptual distinction between thermodynamic state variables such as chemical potentials and external background fields. This allows us to pinpoint ambiguities in previous holographic calculations of the chiral magnetic conductivity. We also calculate the corresponding anomalous current three-point functions in special kinematic regimes. We compare the holographic results to weak coupling calculations using both dimensional regularization and cutoff regularization. In order to reproduce the weak coupling results it is necessary to allow for singular holographic gauge field configurations when a chiral chemical potential is introduced for a chiral charge defined through a gauge invariant but non-conserved chiral density. We argue that this is appropriate for actually addressing charge separation due to the chiral magnetic effect.
17 pages, 1 figure. v2: 18 pages, 1 figure, discussion clarified throughout the text, references added, version accepted for publication in JHEP
References in corpus (5)
- Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
- Charge separation induced by P-odd bubbles in QCD matter
- Schwinger-Keldysh Propagators from AdS/CFT Correspondence
- Magnetic-Field-Induced insulator-conductor transition in SU(2) quenched lattice gauge theory
- Holographic chiral magnetic spiral
Cited by in corpus (34)
- Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
- Chiral Magnetic Wave
- Strain induced Chiral Magnetic Effect in Weyl semimetals
- Fluid/gravity model for the chiral magnetic effect
- Thermal transport, geometry, and anomalies
- Foundations and Applications of Quantum Kinetic Theory
- Anomalous Magneto Response and the Stückelberg Axion in Holography
- Chiral electric separation effect in the quark-gluon plasma
- Chiral Hall Effect and Chiral Electric Waves
- Some Field Theoretic Issues Regarding the Chiral Magnetic Effect
- Strong-Field Physics in QED and QCD: From Fundamentals to Applications
- Chiral hydrodynamics in strong external magnetic fields
- (Non)renormalization of Anomalous Conductivities and Holography
- Chiral Magnetic Effect at Weak Coupling with Relaxation Dynamics
- Spontaneous chiral symmetry breaking and the Chiral Magnetic Effect for interacting Dirac fermions with chiral imbalance
- Quantum kinetic theory for spin-1/2 fermions in Wigner function formalism
- Is the Chiral Magnetic Effect fast enough?
- A Constraint-Based Approach to the Chiral Magnetic Effect
- Energy dependence of the chiral magnetic effect in expanding holographic plasma
- Topological susceptibility, divergent chiral density and phase diagram of chirally imbalanced QCD medium at finite temperature
- Anomalous Transport in Holographic Chiral Superfluids via Kubo Formulae
- Anomalous transport from holography: Part I
- Higher-form symmetries, anomalous magnetohydrodynamics, and holography
- Quantized electrochemical transport in Weyl semimetals
- Spacetime dynamics of chiral magnetic currents in a hot non-Abelian plasma
- Chiral transport in strong fields from holography
- On the absence of the Chiral Magnetic Effect in equilibrium QCD
- Real-time dynamics of axial charge and chiral magnetic current in a non-Abelian expanding plasma
- Anomalous conductivities in the holographic Stuckelberg model
- Laser induced surface magnetization in Floquet-Weyl semimetals
- Chiral Magnetic Effect and Three-point Function from AdS/CFT Correspondence
- Chiral Separation Effect from Holographic QCD
- Chiral Cherenkov radiation in the presence of a time-dependent chiral chemical potential
- Floquet-Weyl semimetals generated by an optically resonant interband-transition