Gauge Independence and Chiral Symmetry Breaking in a Strong Magnetic Field
arXiv:hep-ph/0503298 · doi:10.1016/j.aop.2006.03.006
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.
arXiv comment10 pages, 1 eps figure, version to appear in Annals of Physics
References in corpus (10)
- Dimensional Reduction and Catalysis of Dynamical Symmetry Breaking by a Magnetic Field
- Dynamical Chiral Symmetry Breaking by a Magnetic Field in QED
- Theory of the Magnetic Catalysis of Chiral Symmetry Breaking in QED
- Chiral Symmetry Breaking in a Uniform External Magnetic Field
- Chiral Symmetry Breaking by a Magnetic Field in Weak-coupling QED
- Dynamical Chiral Symmetry Breaking in QED in a Magnetic Field: Toward Exact Results
- RG analysis of magnetic catalysis in Dynamical symmetry breaking
- Ward-Takahashi Identity with External Field in Ladder QED
- QED in a Strong External Magnetic Field: Beyond the Constant Mass Approximation
- Electron Mass Operator in a Strong Magnetic Field and Dynamical Chiral Symmetry Breaking
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