Renormalization Conditions and the Sliding Scale in the Implicit Regularization Scheme: A Simple Connection

Details Renormalization Conditions and the Sliding Scale in the Implicit Regularization Scheme: A Simple Connection Renormalization Conditions and the Sliding Scale in the Implicit Regularization Scheme: A Simple Connection

2002-09-04

arxiv.org/abs/hep-th/0209033v1

Int.J.Theor.Phys. 41 (2002) 9

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, no figures, LaTeX

Scientific paper

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*phi^4 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.

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