Radiative corrections to chiral separation effect in QED

Abstract

We calculate the leading radiative corrections to the axial current in the chiral separation effect in dense QED in a magnetic field. Contrary to the conventional wisdom suggesting that the axial current should be exactly fixed by the chiral anomaly relation and is described by the topological contribution on the lowest Landau level in the free theory, we find in fact that the axial current receives nontrivial radiative corrections. The direct calculations performed to the linear order in the external magnetic field show that the nontrivial radiative corrections to the axial current are provided by the Fermi surface singularity in the fermion propagator at nonzero fermion density.

19 pages, 1 figure; version 3: final version published in Physical Review D

References in corpus (9)

• The Chiral Magnetic Effect
• Unparticle Physics
• Charge separation induced by P-odd bubbles in QCD matter
• "Strongly interacting matter in magnetic fields": an overview
• Chiral anomaly and local polarization effect from quantum kinetic approach
• Search for Chiral Magnetic Effects in High-Energy Nuclear Collisions
• Chiral asymmetry of the Fermi surface in dense relativistic matter in a magnetic field
• Charge asymmetry dependency of ${\pi }^{+}/{\pi }^{-}$ elliptic flow in Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV
• Chiral asymmetry and axial anomaly in magnetized relativistic matter

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