Abstract
Abstract Results of simple calculations in the usual perturbation expansion in quantum electrodynamics appear to be in contradiction with gauge invariance. We point out why certain divergent integrals which are assumed or “shown” to be zero are really not required to vanish. This argument is applicable to such diverse problems as vacuum polarization in quantum electrodynamics and the renormalizability of the theory of a neutral vector meson interacting with a conserved fermion current. In general terms, we show that more caution has to be exercised when four-divergences are neglected in a Lagrangian density.
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