Dimensional regularization of a compact dimension

Abstract

An extension of dimensional regularization to the case of compact dimensions is presented. The procedure preserves the Kaluza-Klein tower structure, but has a regulator specific to the compact dimension. Possible 5 and 4 dimensional divergent as well as manifest finite contributions of (one-loop) Feynman graphs can easily be identified in this scheme.

Comments: 12 pages, LaTeX, 1 figure, some minor changes and references added