Chiral anomaly and local polarization effect from quantum kinetic approach

Details Chiral anomaly and local polarization effect from quantum kinetic approach Chiral anomaly and local polarization effect from quantum kinetic approach

2012-03-04

arxiv.org/abs/1203.0725v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

RevTex 4, 4 pages, 1 figure

Scientific paper

Induced vector and axial vector currents are derived from solving the quantum kinetic equations for spin-1/2 charged fermions in a constant external field via a consistent iterative scheme. Chiral current anomaly $\partial_\mu j_5^\mu = C E\cdot B$, vector current conservation $\partial_\mu j^\mu =0$ and the energy-momentum conservation $\partial_\mu T^{\mu\nu}=QF^{\nu\rho} j_\rho$ are all natural consequences of the solutions. This provides an independent derivation of the chiral anomaly from kinetic approach. The induced chiral current from vorticity is argued to lead to a local polarization effect along the vorticity direction in heavy ion collisions.

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