The QED Radiative Corrections to Chiral Magnetic Effect

Abstract

We study in this paper the radiative corrections to chiral magnetic current at both zero and nonzero temperature. Our motivation is a radiative correction to the matrix element of the anomalous Ward identity in massless QED stemming from a three-loop diagram where the two photons coming from the one-loop anomalous triangle are re-scattered. Through the interplay between the Ward identity and the infrared subtlety of the fermion loop integral, we are able to reproduce the corrections known in literature in a simpler approach and obtain its contribution to the chiral magnetic current at zero temperature. At a nonzero temperature, the infrared subtlety disappeared in a static magnetic field and the three-loop diagram does not contribute to the chiral magnetic current any more. The generalization to all orders of the massless QED and the QCD corrections are discussed.

15 pages, 3 figures

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• Chirality Production with Mass Effects-Schwinger Pair Production and the Axial Ward Identity
• Second-order Charge Currents and Stress Tensor in Chiral System
• Chiral magnetic response to arbitrary axial imbalance
• Thermodynamics of the system of massive Dirac fermions in a uniform magnetic field
• Delineating chiral separation effect in two-color dense QCD
• Recent developments in chiral and spin polarization effects in heavy-ion collisions
• Chiral magnetic effect in a cylindrical domain
• Thermodynamics of Chiral Fermion System in a Uniform Magnetic Field
• The noncommutativity of the static and homogeneous limit of the axial chemical potential in chiral magnetic effect