Taming instability of magnetic field in chiral medium

Abstract

Magnetic field is unstable in a medium with time-independent chiral conductivity. Owing to the chiral anomaly, the electromagnetic field and the medium exchange helicity which results in time-evolution of the chiral conductivity. Using the fastest growing momentum and helicity state of the vector potential as an ansatz, the time-evolution of the chiral conductivity and magnetic field is solved analytically. The solution for the hot and cold equations of state shows that the magnetic field does not develop an instability due to he helicity conservation. Moreover, it develops a peak only if a significant part of the \emph{initial} helicity is stored in the medium. The initial helicity determines the height and position of the peak.

16 pages, 8 figures; v2-4: many references, discussions and one figure added

References in corpus (5)

• The Chiral Magnetic Effect
• Energy Conservation and the Chiral Magnetic Effect
• Anomalous Transport and Generalized Axial Charge
• Approach to Chandrasekhar-Kendall-Woltjer State in a Chiral Plasma
• Spontaneous topological transitions of electromagnetic fields in spatially inhomogeneous CP-odd domains

Cited by in corpus (9)

• On axial current in rotating and accelerating medium
• Radiative instability of quantum electrodynamics in chiral matter
• Transition radiation as a probe of chiral anomaly
• Time-evolution of magnetic field in hot nuclear matter with fluctuating topological charge
• Electrodynamics of dual superconducting chiral medium
• 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 magnetohydrodynamics for heavy-ion collisions
• Helicity conservation in perfect electromagnetic and chiral fluids