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

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

2008-12-19

arxiv.org/abs/0812.3846v2

Phys.Lett.B673:220-226,2009

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 5 figures

Scientific paper

10.1016/j.physletb.2009.02.023

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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