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Large-order Behaviour of the QCD Adler D-function in Planar Approximation

C. J. Maxwell
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Abstract

We consider the structure of the leading ultra-violet (UV) renormalon singularity associated with the QCD vacuum polarization Adler D-function, in the approximation that only planar Feynman diagrams are retained. This ``planar approximation'' results in some simplifications, in particular three of the four potential contributions from four-fermion operators are shown to be absent. We are able to obtain a fully normalized result for the leading $n\to\infty$ behaviour of the portion of perturbative coefficients proportional to $N_f^{n-r} N^r$, for SU(N) QCD with $N_f$ quark flavours.

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C. J. Maxwell. 1997-06-03. Large-order Behaviour of the QCD Adler D-function in Planar Approximation. https://doi.org/10.1016/s0370-2693(97)00860-5

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