Browsing Physics & Mathematics by Subject "Integrals"
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Integration by parts identities in integer numbers of dimensions. A criterion for decoupling systems of differential equations
(Elsevier, 2015-12)Integration by parts identities (IBPs) can be used to express large numbers of apparently different d-dimensional Feynman Integrals in terms of a small subset of so-called master integrals (MIs). Using the IBPs one can ... -
Systematization of basic divergent integrals in perturbation theory and renormalization group functions
(Elsevier, 2009-02)We show that to n loop order the divergent content of a Feynman amplitude is spanned by a set of basic (logarithmically divergent) integrals I (i) log(λ2), i = 1, 2,...,n, λ being the renormalization group scale, which ...