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Gauge Independence and Chiral Symmetry Breaking in a Strong Magnetic Field

C. N. Leung·S. -Y. Wang
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Abstract

The gauge independence of the dynamical fermion mass generated through chiral symmetry breaking in QED in a strong, constant external magnetic field is critically examined. We present a (first, to the best of our knowledge) consistent truncation of the Schwinger-Dyson equations in the lowest Landau level approximation. We demonstrate that the dynamical fermion mass, obtained as the solution of the truncated Schwinger-Dyson equations evaluated on the fermion mass shell, is manifestly gauge independent.

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C. N. Leung, S. -Y. Wang. 2006-03-17. Gauge Independence and Chiral Symmetry Breaking in a Strong Magnetic Field. https://doi.org/10.1016/j.aop.2006.03.006

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