Applications of non-perturbative renormalization

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.

Comments: Talk at ICHEP00 (Lattice Field Theory session), 6 pages, latex2e, 3 Postscript figures, uses package epsfig