The limit $m_q \to 0$ of perturbative QCD

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  • 4 January 1999
Abstract
This treatment of power corrections (in a special case of Euclidean asymptotic regimes and vacuum condensates) remains exemplary. Unlike A.Mueller's 1985 "renormalon" paper, this trail-blazing Letter: 1) was based on the correct mechanism of factorization for power corrections (--> comments appended to the main text); 2) used a method (which subsequently became Asymptotic Operation; hep-ph/9703424 and refs. therein) that automatically yields exact diagrammatic formulas for the coefficients of power corrections, which directly allow non-perturbative operator interpretation (without any 'matchings'); 3) did not conjure irrelevant mathematical concepts (Borel summation); 4) did not introduce arbitrary hypotheses ("renormalons") to explain what is clear already from careful analysis of diagrams (coefficients of power corrections are not perturbatively calculable). Incidentally, January 4 is the birthday of Sir Isaac Newton whose example as regards non-invention of arbitrary hypotheses proves so hard for theorists to follow.

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