2002/09/04 by A. Brizola, S. R. Gobira, Marcos Sampaio +1
Physics and Astronomy · #hep-th
published as Int.J.Theor.Phys. 41 (2002) 9 · 23 pages, no figures, LaTeX
arxiv created 2002/09/04 · arxiv updated 2009/11/30
We describe in detail how a sliding scale is introduced in the renormalization of a QFT according to integer-dimensional implicit regularization scheme. We show that since no regulator needs to be specified at intermediate steps of the calculation, the introduction of a mass scale is a direct consequence of a set of renormalization conditions. As an illustration the one loop beta-function for QED and lambda*phi4 theories are derived. They are given in terms of derivatives of appropriately systematized functions (related to definited parts of the amplitudes) with respect to a mass scale mu. Our formal scheme can be easily generalized to higher loop calculations.