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

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

1997-06-03

arxiv.org/abs/hep-ph/9706231v1

Phys.Lett. B409 (1997) 382-386

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, uses LaTeX

Scientific paper

10.1016/S0370-2693(97)00860-5

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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