Gauge Independence and Chiral Symmetry Breaking in a Strong Magnetic Field

Details Gauge Independence and Chiral Symmetry Breaking in a Strong Magnetic Field Gauge Independence and Chiral Symmetry Breaking in a Strong Magnetic Field

2005-03-31

arxiv.org/abs/hep-ph/0503298v3

AnnalsPhys.322:701-708,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 1 eps figure, version to appear in Annals of Physics

Scientific paper

10.1016/j.aop.2006.03.006

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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