On the two-point Green function in QED

It is well known how multiplicative renormalizability of the fermion propagator results in a simple form of the corresponding Schwinger-Dyson equation in the momentum space in massless quenched quantum electrodynamics in 4-dimensions (QED4). We extend this idea to arbitrary dimensions d. The constraint of multiplicative renormalizability of the fermion propagator is generalized to a Landau-Khalatnikov-Fradkin transformation law in d-dimensions © 2006 IOP Publishing Ltd.