Non-perturbative renormalization of QCD

Details Non-perturbative renormalization of QCD Non-perturbative renormalization of QCD

1997-11-05

arxiv.org/abs/hep-ph/9711243v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

49 pages, lectures at Schladming-97

Scientific paper

10.1007/BFb0106893

In these lectures, we discuss different types of renormalization problems in QCD and their non-perturbative solution in the framework of the lattice formulation. In particular the recursive finite size methods to compute the scale-dependence of renormalized quantities is explained. An important ingredient in the practical applications is the Schr\"odinger functional. It is introduced and its renormalization properties are discussed. Concerning applications, the computation of the running coupling and the running quark mass are covered in detail and it is shown how the $\Lambda$-parameter and renormalization group invariant quark mass can be obtained. Further topics are the renormalization of isovector currents and non-perturbative Symanzik improvement.

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