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arXiv · hep-th/0209033

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

A. Brizola·S. R. Gobira·Marcos Sampaio·M. C. Nemes
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Abstract

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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A. Brizola, S. R. Gobira, Marcos Sampaio, M. C. Nemes. 2002-09-04. Renormalization Conditions and the Sliding Scale in the Implicit Regularization Scheme: A Simple Connection. https://arxiv.org/abs/hep-th/0209033

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