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Gauge covariant fermion propagator in quenched, chirally-symmetric quantum electrodynamics

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arxiv hep-ph/9403252 v1 pith:JZAGJ2N2 submitted 1994-03-09 hep-ph

Zhihua Dong , Herman J. Munczek , Craig D. Roberts This is my paper · ORCID
classification hep-ph
keywords fermiongaugepropagatorcovariancecovariantquenchedvertexansatz
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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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  1. Landau-Khalatnikov-Fradkin Transformations in Quantum Electrodynamics: For Perturbation Theory and Dynamical Mass Generation

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    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-ind...

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