Erratum to “Perturbative generation of photon Lorentz violating terms from a pseudo-tensor Lorentz-breaking extension of QED” [Nucl. Phys. B 942 (2019) 393–409]

We consider an extended QED with the addition of a dimension-five Lorentz-breaking coupling between spinor and gauge fields, involving pseudo-tensor $\kappa^{\mu\nu\lambda\rho}$. The specific form Lorentz violating considered by us have been suggested in other works, some its consequences at classical level were already studied. Here, we investigate this violation quantum level, evaluating one loop corrections to field two-point function, both zero finite temperature. relate terms that are generated photon sector Standard Model Extension, discussing possibility establishing experimental bounds on $k^{\mu\nu\rho\sigma}$. From dispersion relations resulting theory, discuss consistency from causality viewpoint.