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.
Details
- Radiative Corrections to Chiral Separation Effect in QED
- Shovkovy, Igor (Author)
- Gorbar, E. V. (Author)
- Miransky, V. A. (Author)
- Wang, Xinyang (Author)
- College of Integrative Sciences and Arts (Contributor)
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Digital object identifier: 10.1103/PhysRevD.88.025025
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Identifier TypeInternational standard serial numberIdentifier Value1088-6826
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Identifier TypeInternational standard serial numberIdentifier Value0002-9939
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Copyright (2013) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. along with the following message: The following article appeared in (Physical Review D, 88(2)) and may be found at (http://journals.aps.org.ezproxy1.lib.asu.edu/prd/abstract/10.1103/PhysRevD.88.025025).
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Gorbar, E. V., Miransky, V. A., Shovkovy, I. A., & Wang, X. (2013). Radiative corrections to chiral separation effect in QED. Physical Review D, 88(2), 025025. doi:10.1103/PhysRevD.88.025025