# Non-perturbative renormalization in lattice QCD

## TL;DR

This paper reviews various non-perturbative renormalization methods in lattice QCD, including Ward-Takahashi identities, chiral rules, Schrödinger functional, and Monte Carlo techniques, discussing their applications and potential for higher-order term definitions.

## Contribution

It provides a comprehensive overview of multiple non-perturbative renormalization approaches in lattice QCD, highlighting their principles and potential for future developments.

## Key findings

- Comparison of different non-perturbative methods
- Discussion on defining higher twist terms
- Insights into the effectiveness of Monte Carlo techniques

## 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 Schr\"{o}dinger 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.