Natural regularization

We formulate natural regularization (NR) as a variant of dimensional regularization (DR). We replace the conventional dimensional reduction by a dimensionless regulator, allowing a transparent regularization of standard D-dimensional Feynman integrals. For arbitrary dimensions, we motivate and demonstrate explicitly the transition from the dimensionally reduced integration space to natural regularization. We establish the relation to cut-off regularization and point out the basic differences from dimensional regularization. Possible applications, such as to the axial anomaly or to gauge theories are briefly touched upon. (author)