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We consider an effective model formed by usual QED (minimal coupling) withthe addition of a nonminimal Lorentz violating interaction (proportional to afixed 4-vector $b_\mu$) which may radiatively generate both CPT even and oddterms in the pure gauge sector.  We show that gauge invariance from usual QED, considered as a limit of themodel for $b_\mu \rightarrow 0$, plays an important role in the discussion ofthe radiatively induced Lorentz violating terms at one-loop order. Moreover,despite the nonrenormalizability of the (effective) model preventing us fromreadily extending our discussion to higher orders, it is still possible todisplay the general form of the breaking terms of the photon sector in the onshell limit organized in powers of $b_\mu$ which in turn can be considered as asmall expansion parameter.

QED with minimal and nonminimal couplings: on the quantum generation of Lorentz violating terms in the pure photon sector