Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-09-15
AIP Conf.Proc.549:598-603,2002
Physics
High Energy Physics
High Energy Physics - Phenomenology
6 pages. Talk presented at the 7th Conference on the Intersections of Particle and Nuclear Physics, Quebec City, Canada, May 2
Scientific paper
10.1063/1.1345326
The application of renormalization group techniques to bound states in non-relativistic QED and QCD is discussed. For QED bound states like Hydrogen and positronium, the renormalization group allows large logarithms of the velocity, ln v (or equivalently ln alpha's), to be predicted in a universal and simple way. The series of (alpha ln alpha)'s are shown to terminate after a few terms. For QCD one can systematically sum infinite series of the form [alpha_s ln alpha_s]^k$, and answer definitively the question ``alpha_s at what scale?''.
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