Consistency Relations for an Implicit n-dimensional Regularization Scheme

Details Consistency Relations for an Implicit n-dimensional Regularization Scheme Consistency Relations for an Implicit n-dimensional Regularization Scheme

2000-10-31

arxiv.org/abs/hep-th/0010285v2

Phys.Rev. D63 (2001) 046004

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, LaTeX, to appear in Phys.Rev.D

Scientific paper

10.1103/PhysRevD.63.046004

We extend an implicit regularization scheme to be applicable in the $n$-dimensional space-time. Within this scheme divergences involving parity violating objects can be consistently treated without recoursing to dimensional continuation. Special attention is paid to differences between integrals of the same degree of divergence, typical of one loop calculations, which are in principle undetermined. We show how to use symmetries in order to fix these quantities consistently. We illustrate with examples in which regularization plays a delicate role in order to both corroborate and elucidate the results in the literature for the case of CPT violation in extended $QED_4$, topological mass generation in 3-dimensional gauge theories and the Schwinger Model and its chiral version.

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