Applications of non-perturbative renormalization

TL;DR

This paper reviews non-perturbative renormalization in QCD, focusing on lattice simulations and scale-dependent methods, and discusses recent computations of key quantities like the running coupling and quark masses.

Contribution

It provides a comprehensive survey of non-perturbative renormalization techniques in lattice QCD, emphasizing recursive finite-size scaling and recent phenomenological applications.

Findings

Reliable computation of the running QCD gauge coupling.

Determination of renormalization group invariant quark masses.

Renormalization of the static-light axial current.

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.