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Applications of non-perturbative renormalization

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Preprint
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arXiv ID: hep-ph/0010050
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arXiv
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Abstract

A short survey of the renormalization problem in QCD and its non-perturbative solution by means of numerical simulations on the lattice is given. Most emphasis is on scale dependent renormalizations, which can be reliably addressed via a recursive finite-size scaling procedure employing a suitable intermediate renormalization scheme. To illustrate these concepts we discuss some - partly recent - computations of phenomenologically relevant quantities: the running QCD gauge coupling, renormalization group invariant quark masses and the renormalization of the static-light axial current.

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