Non-perturbative renormalization of lattice QCD

Abstract

In this talk I will discuss a number of approaches designed to deal with the problem of setting up a fully non-perturbative renormalization procedure in lattice QCD. Methods based on Ward-Takahashi identities on hadronic states, on imposing chiral selection rules on amplitudes with external quark/gluon legs, on the use of the Schrödinger functional and on “heating and cooling” Monte Carlo steps are reviewed. I conclude with some remarks on the possibility of defining next order terms (higher twists, “condensates”,...) in short distance expansions.