Novel Sets of Coupling Expansion Parameters for low-energy pQCD

dc.creatorShirkov, D. V.
dc.date2008-04-01
dc.date.accessioned2026-07-07T12:14:21Z
dc.date.available2026-07-07T12:14:21Z
dc.descriptionIn quantum theory, physical amplitudes are usually presented in the form of Feynman perturbation series in powers of coupling constant $\al .$ However, it is known that these amplitudes are not regular functions at $α=0 .$ For QCD, we propose new sets of expansion parameters ${\bf w}_k(\as)$ that reflect singularity at $\as=0 $ and should be used instead of powers $\as^k.$ Their explicit form is motivated by the so called Analytic Perturbation Theory. These parameters reveal saturation in a strong coupling case at the level $\as^{eff}(\as\gg1)={\bf w}_1(\as\gg 1) \sim 0.5 .$ They can be used for quanitative analysis of divers low-energy amplitudes. We argue that this new picture with non-power sets of perturbation expansion parameters, as well as the saturation feature, is of a rather general nature.
dc.description8 pages, 1 figure, submitted to Part. Nucl. Phys. Lett
dc.identifierhttps://arxiv.org/abs/0804.0083
dc.identifierhttp://arxiv.org/abs/0804.0083
dc.identifierPhys.Part.Nucl.Lett.5:489-493,2008
dc.identifierdoi:10.1134/S1547477108060010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211162
dc.subjectHigh Energy Physics - Phenomenology
dc.titleNovel Sets of Coupling Expansion Parameters for low-energy pQCD
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