Abstract
We study the gauge covariance of the massive fermion propagator in three as well as four-dimensional quantum electrodynamics (QED). Starting from its value at the lowest order in perturbation theory, we evaluate a nonperturbative expression for it by means of its Landau-Khalatnikov-Fradkin (LKF) transformation. We compare the perturbative expansion of our findings with the known one-loop results and observe perfect agreement up to a gauge parameter independent term, a difference permitted by the structure of the LKF transformations.
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