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The induced axial current and the chiral anomaly are studied in the normal phase of magnetized relativistic matter.
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The fact that in a magnetic field the axial anomaly is generated only in the LLL was shown in J. Ambjorn, J. Greensite and C. Peterson, Nucl. Phys. B 221
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Here our definition of the electric charge e e is such that e = − | e | < 0 e=-|e|<0 for the electron
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E. V. Gorbar, V. A. Miransky, and I. A. Shovkovy (in preparation)
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The constraint μ ~ = 0 \tilde{\mu}=0 simplifies the analysis. However, we should emphasize that μ ~ \tilde{\mu} may well be non-vanishing in more refined approximations and in models with other types of interactions GGM2007 ; magCatFI . Yet, as one learns from a similar analysis in graphene, a nonzero μ ~ \tilde{\mu} should not change the main qualitative features of the phase with an induced Δ \Delta GGM2007
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2010
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R. V. Gavai and S. Sharma, Phys. Rev. D 81
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