On Magnetostatics of Chiral Media

Abstract

We consider magnetostatics of chiral media with a non-vanishing chiral chemical potential ${\mu }_5\ne 0$. The chiral anomaly is known to have macroscopic manifestations which go beyond the standard classical electrodynamics and we introduce an effective action which accounts for the effect of the anomaly. A new piece in the effective action takes the form of a topological three-dimensional photon mass. The topological mass of the photon turns to be imaginary and signals instability. A stable state corresponds to a solution of the Beltrami equations. We demonstrate also that the interaction between two current loops reduces to the linking number of the loops. As for the chiral magnetic effect it seems to disappear in the far infrared.

References in corpus (5)

• The Chiral Magnetic Effect
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Triangle anomaly in Weyl semi-metals
• Notes on chiral hydrodynamics within effective theory approach
• Mean-field dynamos in random Arnold-Beltrami-Childress and Roberts flows

Cited by in corpus (13)

• Recent developments in transport phenomena in Weyl semimetals
• Anomalous transport with overlap fermions
• Critical Temperature of Chiral Symmetry Restoration for Quark Matter with a Chiral Chemical Potential
• Spontaneous chiral symmetry breaking and the Chiral Magnetic Effect for interacting Dirac fermions with chiral imbalance
• Chiral magnetic conductivity in an interacting lattice model of parity-breaking Weyl semimetal
• Time-evolution of magnetic field in hot nuclear matter with fluctuating topological charge
• The impact of domain walls on the chiral magnetic effect in hot QCD matter
• Bremsstrahlung in chiral medium: anomalous magnetic contribution to the Bethe-Heitler formula
• Chiral Magnetic Effect in finite-size samples of parity-breaking Weyl semimetals
• The anomalous transport of axial charge: topological vs non-topological fluctuations
• Anomalous magnetoconductivity and relaxation times in holography
• A lattice mean-field study of the phase diagram of interacting parity-breaking Weyl semimetals
• Chiral Superfluidity for QCD