Consistency relations for an implicit n-dimensional regularization scheme - art. no. 046004

We extend an implicit regularization scheme to be applicable in the n-dimen sional space-time. Within this scheme divergences involving parity violatin g objects can be consistently treated without recoursing to dimensional con tinuation. Special attention is paid to differences between integrals of th e same degree of divergence, typical of one loop calculations which are, in principle, undetermined. We show how to use symmetries in order to fix the se quantities consistently. We illustrate with examples in which regulariza tion plays a delicate role in order to both corroborate and elucidate the r esults in the literature for the case of CPT violation in extended QED(4), topological mass generation in three-dimensional gauge theories, the Schwin ger model, and its chiral version.