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

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dc.creatorBrizola, A.
dc.creatorGobira, S. R.
dc.creatorSampaio, Marcos
dc.creatorNemes, M. C.
dc.date2002-09-04
dc.date.accessioned2026-07-07T04:14:04Z
dc.date.available2026-07-07T04:14:04Z
dc.descriptionWe 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.
dc.description23 pages, no figures, LaTeX
dc.identifierhttps://arxiv.org/abs/hep-th/0209033
dc.identifierhttp://arxiv.org/abs/hep-th/0209033
dc.identifierInt.J.Theor.Phys. 41 (2002) 9
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/51490
dc.subjectHigh Energy Physics - Theory
dc.titleRenormalization Conditions and the Sliding Scale in the Implicit Regularization Scheme: A Simple Connection
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