Renormalization group dependence of the QCD coupling |
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| Authors: | GX Peng |
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| Institution: | 1. China Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing 100080, China;2. Institute of High Energy Physics, Chinese Academy of Sciences, P.O. Box 918, Beijing 100039, China;3. Center for Theoretical Physics MIT, 77 Massachusetts Avenue, Cambridge, MA 02139-4307, USA |
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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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| Keywords: | 21 65 +f 24 85 +p 12 38 -t 11 30 Rd |
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