Abstract
The literature of the last ten years is riddled with papers confusing or "even erroneous because their authors forget some facts on regularization and renormalization which should be well-known. We thus propose a short critical review with emphasis on three points: – to every primitive divergence corresponds a normalization condition, i.e. a parameter, even when a minimal scheme is used, – a regularization needs a consistent set of rules, – quantum corrections appear in the Ward identities when a symmetry non-preserving regulator is used, and they have to be compensated for through finite, non-symmetric counterterms. As a corollary, we recall that, being inconsistent, dimensional reduction should be prohibited when one wants to prove general results and, when used in "experimental" calculations, it should come with the necessary warnings.
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