Chiral anomaly and local polarization effect from quantum kinetic approach

Abstract

A power expansion scheme is set up to determine the Wigner function that satisfies the quantum kinetic equation for spin-1/2 charged fermions in a background electromagnetic field. Vector and axial-vector current induced by magnetic field and vorticity are obtained simultaneously from the Wigner function. The chiral magnetic and vortical effect and chiral anomaly are shown as natural consequences of the quantum kinetic equation. The axial-vector current induced by vorticity is argued to lead to a local polarization effect along the vorticity direction in heavy-ion collisions.

RevTex 4, 4 pages, 1 figure; accepted version in PRL

References in corpus (9)

• The Chiral Magnetic Effect
• Gravitational Anomaly and Transport
• Angular momentum conservation in heavy ion collisions at very high energy
• Testing the chiral magnetic and chiral vortical effects in heavy ion collisions
• Global quark polarization in non-central $A+A$ collisions
• The chiral magnetic effect in hydrodynamical approach
• Holographic nonlinear hydrodynamics from AdS/CFT with multiple/non-Abelian symmetries
• Fluid/gravity model for the chiral magnetic effect
• A consistent description of kinetic equation with triangle anomaly

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