No Net Charge Separation in Hot QCD in a Magnetic Field
arXiv:1807.05467 · doi:10.1103/PhysRevD.98.074009
Abstract
We study the realization of axion electrodynamics in QCD in the presence of a background magnetic field at temperatures high enough for the occurrence of topological charge transitions that are reflected in the presence of a -vacuum term in the action. We show that in this system, the Maxwell equations contain two equal and opposite electric currents that are proportional to the time derivative of the axion field . One of these currents comes directly from the Abelian chiral anomaly term in the action and can be interpreted as a polarization current due to the magnetoelectricity of the system with CP-broken symmetry. The other current is obtained from the regular tadpole diagrams and can be understood as produced by the medium chiral imbalance and the single spin projection of the quarks in the lowest Landau level. Since the two currents cancel out, the net electric charge separation along the magnetic field, a phenomenon known as the Chiral Magnetic Effect, does not take place in hight-T QCD at least in equilibrium, in sharp contrast with many claims in the literature. We discuss the similarities and differences with Weyl semimetals in a magnetic field.
arXiv comment17 pages
References in corpus (64)
- Topological Insulators
- Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
- Topological Field Theory of Time-Reversal Invariant Insulators
- Weyl Semimetal in a Topological Insulator Multilayer
- The Chiral Magnetic Effect
- The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
- Topological Materials: Weyl Semimetals
- Dirac semimetal in three dimensions
- Observation of a topological 3D Dirac semimetal phase in high-mobility Cd3As2
- Instantons in QCD
- Experimental Realization of a Three-Dimensional Dirac Semimetal
- Topological response in Weyl semimetals and the chiral anomaly
- Quantum Hall effects in a Weyl Semi-Metal: possible application in pyrochlore Iridates
- Parity violation in hot QCD: why it can happen, and how to look for it
- The Chiral Magnetic Effect and Anomaly-Induced Transport
- Electromagnetic Response of Weyl Semimetals
- Dimensional Reduction and Catalysis of Dynamical Symmetry Breaking by a Magnetic Field
- Charge Transport in Weyl Semimetals
- Anomalous Axion Interactions and Topological Currents in Dense Matter
- Weyl semimetal with broken time reversal and inversion symmetries
- Quantum Anomalies in Dense Matter
- Electromagnetic fields and anomalous transports in heavy-ion collisions --- A pedagogical review
- Adler-Bell-Jackiw anomaly in Weyl semi-metals: Application to Pyrochlore Iridates
- Axion response in Weyl semimetals
- Signatures of a Pressure-Induced Topological Quantum Phase Transition in BiTeI
- Triangle anomaly in Weyl semi-metals
- Magnetic Color Flavor Locking Phase in High Density QCD
- Color-Superconducting Gap in the Presence of a Magnetic Field
- Anomalies and the chiral magnetic effect in the Sakai-Sugimoto model
- Holographic Anomalous Conductivities and the Chiral Magnetic Effect
- Excitonic Phases from Weyl Semi-Metals
- Chiral Symmetry Breaking in a Uniform External Magnetic Field
- Axial Current Generation from Electric Field: Chiral Electric Separation Effect
- Holographic Chiral Magnetic Conductivity
- Chiral density waves in quark matter within the Nambu--Jona-Lasinio model in an external magnetic field
- Fluid/gravity model for the chiral magnetic effect
- New look at the QCD ground state in a magnetic field
- Chiral Symmetry Breaking by a Magnetic Field in Weak-coupling QED
- Weyl semimetals with short-range interactions
- Magnetic catalysis and axionic charge-density-wave in Weyl semimetals
- A Chiral Magnetic Effect from AdS/CFT with Flavor
- Anomalous transport with overlap fermions
- Magnetic properties of dense holographic QCD
- Absence of equilibrium chiral magnetic effect
- Gauge independent approach to chiral symmetry breaking in a strong magnetic field
- Singular values of the Dirac operator in dense QCD-like theories
- Novel Lifshitz point for chiral transition in the magnetic field
- On the Chiral Magnetic Effect in Soft-Wall AdS/QCD
- Some Field Theoretic Issues Regarding the Chiral Magnetic Effect
- Dynamical mass generation in QED with magnetic fields: arbitrary field strength and coupling constant
- A new look at the modified Coulomb potential in a strong magnetic field
- Consistent NEC-violation: towards creating a universe in the laboratory
- Fermion Condensate and Vacuum Current Density Induced by Homogeneous and Inhomogeneous Magnetic Fields in (2+1)-Dimensions
- Spontaneous chiral symmetry breaking and the Chiral Magnetic Effect for interacting Dirac fermions with chiral imbalance
- Dissipationless Hall Current in Dense Quark Matter in a Magnetic Field
- Novel Topological Effects in Dense QCD in a Magnetic Field
- Chiral separation and chiral magnetic effects in a slab: The role of boundaries
- Chiral magnetic conductivity in an interacting lattice model of parity-breaking Weyl semimetal
- Beyond-Constant-Mass-Approximation Magnetic Catalysis in the Gauge Higgs-Yukawa Model
- A Constraint-Based Approach to the Chiral Magnetic Effect
- Paraelectricity in Magnetized Massless QED
- Colour superconductivity in a strong magnetic field
- Magnetoelectric Effect in Strongly Magnetized Color Superconductivity
- Chiral helix in AdS/CFT with flavor