The gauge-dependent parts of the QED fermion propagator at two loops are derived in QED3 and QED4 via Landau-Khalatnikov-Fradkin transformations, and a representative dynamical mass solution is shown to have gauge-independent pole mass and condensate.
Gauge covariant fermion propagator in quenched, chirally-symmetric quantum electrodynamics
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abstract
We discuss the chirally symmetric solution of the massless, quenched, Dyson-Schwinger equation for the fermion propagator in three and four dimensions. The solutions are manifestly gauge covariant. We consider a gauge covariance constraint on the fermion--gauge-boson vertex, which motivates a vertex Ansatz that both satisfies the Ward identity when the fermion self-mass is zero and ensures gauge covariance of the fermion propagator.
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Landau-Khalatnikov-Fradkin Transformations in Quantum Electrodynamics: For Perturbation Theory and Dynamical Mass Generation
The gauge-dependent parts of the QED fermion propagator at two loops are derived in QED3 and QED4 via Landau-Khalatnikov-Fradkin transformations, and a representative dynamical mass solution is shown to have gauge-independent pole mass and condensate.