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Axial anomaly of QED in a strong magnetic field and noncommutative anomaly

N. Sadooghi·A. Jafari Salim
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Abstract

The Adler-Bell-Jackiw (ABJ) anomaly of a 3+1 dimensional QED is calculated in the presence of a strong magnetic field. It is shown that in the regime with the lowest Landau level (LLL) dominance a dimensional reduction from D=4 to D=2 dimensions occurs in the longitudinal sector of the low energy effective field theory. In the chiral limit, the resulting anomaly is therefore comparable with the axial anomaly of a two dimensional massless Schwinger model. It is further shown that the U(1) axial anomaly of QED in a strong magnetic field is closely related to the ``nonplanar'' axial anomaly of a conventional noncommutative QED.

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N. Sadooghi, A. Jafari Salim. 2006-10-07. Axial anomaly of QED in a strong magnetic field and noncommutative anomaly. https://doi.org/10.1103/physrevd.74.085032

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