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arXiv · hep-ph/9901214

The limit $m_q \to 0$ of perturbative QCD

Fyodor V. Tkachov
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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) nor 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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Fyodor V. Tkachov. 1999-01-11. The limit $m_q \to 0$ of perturbative QCD. https://doi.org/10.1016/0370-2693(83)91240-6

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