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arXiv · hep-th/0601051

Renormalization group dependence of the QCD coupling

G. X. Peng
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Abstract

The general relation between the standard expansion coefficients and the beta function for the QCD coupling is exactly derived in a mathematically strict way. It is accordingly found that an infinite number of logarithmic terms are lost in the standard expansion with a finite order, and these lost terms can be given in a closed form. Numerical calculations, by a new matching-invariant coupling with the corresponding beta function to four-loop level, show that the new expansion converges much faster.

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G. X. Peng. 2006-01-09. Renormalization group dependence of the QCD coupling. https://doi.org/10.1016/j.physletb.2006.01.032

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