Renormalization group dependence of the QCD coupling

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.

6 pages, 2 figures, RevTex4 style

References in corpus (3)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• The role of quark mass in cold and dense perturbative QCD
• Chiral condensates and size of the sigma term

Cited by in corpus (5)

• Thermodynamic consistency, quark mass scaling, and properties of strange matter
• Strange matter and strange stars in a thermodynamically self-consistent perturbation model with running coupling and running strange quark mass
• Matching-invariant running quark masses in Quantum Chromodynamics
• Strangelets at finite temperature in an equivparticle model
• Strange quark matter and proto-strange stars in an equivaparticle model