A Convergent Reformulation of QCD Perturbation Theory
arXiv:hep-ph/9706365 · doi:10.1016/S0370-2693(97)00882-4
Abstract
We propose a generalization of Grunberg's method of effective charges in which, starting with the effective charge for some dimensionless QCD observable dependent on the single energy scale , we introduce an infinite set of auxiliary effective charges, each one describing the sub-asymptotic Q-evolution of the immediately preceding effective charge. The corresponding infinite set of coupled integrated effective charge beta-function equations may be truncated. The resulting approximations for are the convergents of a continued function. They are manifestly RS-invariant and converge to a limit equal to the Borel sum of the standard asymptotic perturbation series in , with remaining ambiguities due to infra-red renormalons. There are close connections with Pad{é} approximation.
11 pages, uses LaTeX
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Cited by in corpus (11)
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