LKF transformations give all-order gauge-transformed fermion propagators in RQED, with ξ=1/3 eliminating one-loop leading logs and numerical checks confirming gauge-invariant condensate and pole mass.
Gauge independent Chiral Symmetry Breaking in Quenched QED
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abstract
In quenched QED we construct a non-perturbative fermion-boson vertex that ensures the fermion propagator satisfies the Ward-Takahashi identity, is multiplicatively renormalizable, agrees with perturbation theory for weak couplings and has a critical coupling for dynamical mass generation that is strictly gauge independent. This is in marked contrast to the rainbow approximation in which the critical coupling changes by 50% just between the Landau and Feynman gauges. The use of such a vertex should lead to a more believable study of mass generation.
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Landau-Khalatnikov-Fradkin Transformations in Reduced Quantum Electrodynamics: Perturbative and Nonperturbative Dynamics of the Fermion Propagator
LKF transformations give all-order gauge-transformed fermion propagators in RQED, with ξ=1/3 eliminating one-loop leading logs and numerical checks confirming gauge-invariant condensate and pole mass.