The spectral functions rho (k²) to order e² in quantum electrodynamics (QED) for an arbitrary space of dimension 2L are derived and are used to calculate the vacuum expectation value (VEV) of the vector current commutators in a closed form for intermediate fermion states of arbitrary mass. A particularly difficult integral in the VEV including the mass term is evaluated as a Meijer G function. Using these results the problem of equal-time current-current commutators (Schwinger terms) is approached covariantly, thereby resolving some renormalisation ambiguities, and also the well known ambiguities attendant on any naive use of the T product at equal times.