Bound States in NRQCD/NRQED and the Renormalization Group
Iain W. Stewart
Abstract
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 [alphas ln alphas]k$, and answer definitively the question ``alphas at what scale?''.
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