Systematization of Basic Divergent Integrals in Perturbation Theory and Renormalization Group Functions

A. P. Ba\^eta Scarpelli; H. G. Fargnoli; L. C. T. Brito; Marcos Sampaio; M. C. Nemes

arxiv: 0812.3846 · v2 · pith:6BTJKYNMnew · submitted 2008-12-19 · ✦ hep-th

Systematization of Basic Divergent Integrals in Perturbation Theory and Renormalization Group Functions

L. C. T. Brito , H. G. Fargnoli , A. P. Ba\^eta Scarpelli , Marcos Sampaio , M. C. Nemes This is my paper

classification ✦ hep-th

keywords divergentbasicintegralscoefficientsfunctionsgrouplooprenormalization

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We show that to n loop order the divergent content of a Feynman amplitude is spanned by a set of basic (logarithmically divergent) integrals which need not be evaluated. Only the coefficients of the basic divergent integrals are necessary to determine renormalization group functions. Relations between these coefficients of different loop orders are derived.

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Systematization of Basic Divergent Integrals in Perturbation Theory and Renormalization Group Functions

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