Analytic structure in the coupling constant plane in perturbative QCD

Details Analytic structure in the coupling constant plane in perturbative QCD Analytic structure in the coupling constant plane in perturbative QCD

2003-10-14

arxiv.org/abs/hep-ph/0310169v1

Phys.Rev. D68 (2003) 114010

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, revtex4, 1 eps-figure

Scientific paper

10.1103/PhysRevD.68.114010

We investigate the analytic structure of the Borel-summed perturbative QCD amplitudes in the complex plane of the coupling constant. Using the method of inverse Mellin transform, we show that the prescription dependent Borel-Laplace integral can be cast, under some conditions, into the form of a dispersion relation in the a-plane. We also discuss some recent works relating resummation prescriptions, renormalons and nonperturbative effects, and show that a method proposed recently for obtaining QCD nonperturbative condensates from perturbation theory is based on special assumptions about the analytic structure in the coupling plane that are not valid in QCD.

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