Dielectric correction to the Chiral Magnetic Effect

Abstract

We derive an electric current density $j_{em}$ in the presence of a magnetic field $B$ and a chiral chemical potential ${\mu }_5$. We show that $j_{em}$ has not only the anomaly-induced term $\propto {\mu }_{5}B$ (i.e. Chiral Magnetic Effect) but also a non-anomalous correction which comes from interaction effects and expressed in terms of the susceptibility. We find the correction characteristically dependent on the number of quark flavors. The numerically estimated correction turns out to be a minor effect on heavy-ion collisions but can be tested by the lattice QCD simulation.

4 pages, 1 figure

References in corpus (16)

• The Chiral Magnetic Effect
• Estimate of the magnetic field strength in heavy-ion collisions
• Charge separation induced by P-odd bubbles in QCD matter
• Azimuthal Charged-Particle Correlations and Possible Local Strong Parity Violation
• Observation of charge-dependent azimuthal correlations and possible local strong parity violation in heavy ion collisions
• Chiral Magnetic conductivity
• Numerical evidence of chiral magnetic effect in lattice gauge theory
• Effects of Cluster Particle Correlations on Local Parity Violation Observables
• Real-time dynamics of the Chiral Magnetic Effect
• Anomalies and the chiral magnetic effect in the Sakai-Sugimoto model
• Remarks on possible local parity violation in heavy ion collisions
• Electric Charge Separation in Strong Transient Magnetic Fields
• Holographic Chiral Magnetic Conductivity
• Electric-current Susceptibility and the Chiral Magnetic Effect
• Chiral asymmetry of the Fermi surface in dense relativistic matter in a magnetic field
• A Novel Mechanism for Type-I Superconductivity in Neutron Stars

Cited by in corpus (36)

• The Chiral Magnetic Effect and Anomaly-Induced Transport
• Chiral Magnetic Wave
• Electromagnetic fields and anomalous transports in heavy-ion collisions --- A pedagogical review
• Chiral magnetic effect in lattice QCD with a chiral chemical potential
• Normal ground state of dense relativistic matter in a magnetic field
• New applications of renormalization group methods in nuclear physics
• A Chiral Magnetic Effect from AdS/CFT with Flavor
• Anomalous transport with overlap fermions
• Radiative corrections to chiral separation effect in QED
• Views of the Chiral Magnetic Effect
• Wess-Zumino-Witten action and photons from the Chiral Magnetic Effect
• Lattice study of the chiral magnetic effect in a chirally imbalanced matter
• Magnetic-field Induced Screening Effect and Collective Excitations
• (Non)renormalization of Anomalous Conductivities and Holography
• On chiral magnetic effect and holography
• Quark Matter in a Strong Magnetic Background
• Spontaneous chiral symmetry breaking and the Chiral Magnetic Effect for interacting Dirac fermions with chiral imbalance
• Chiral asymmetry and axial anomaly in magnetized relativistic matter
• Chiral separation and chiral magnetic effects in a slab: The role of boundaries
• Quantum kinetic theory for spin-1/2 fermions in Wigner function formalism
• Second-order Charge Currents and Stress Tensor in Chiral System
• Topological susceptibility, divergent chiral density and phase diagram of chirally imbalanced QCD medium at finite temperature
• Spatial modulation and topological current in holographic QCD matter
• Universality of anomalous conductivities in theories with higher-derivative holographic duals
• Chiral asymmetry in QED matter in a magnetic field
• Anomalous currents in dense matter under a magnetic field
• Deformed QCD phase structure and entropy oscillation in the presence of a magnetic background
• Surprises in relativistic matter in a magnetic field
• Out-of-equilibrium Chiral Magnetic Effect from simulations on Euclidean lattices
• Chiral asymmetry in cold QED plasma in a strong magnetic field
• Correction to the Chiral Magnetic Effect from axial-vector interaction
• Fluctuations of topological charge and chiral density in the early stage of high energy nuclear collisions
• Strongly interacting matter in extreme magnetic fields
• Chiral magnetic effect in the hadronic phase
• Fermion self-energy in magnetized chirally asymmetric QED matter
• Dynamical gauge fields and anomalous transport at strong coupling