A General Method for Non-Perturbative Renormalization of Lattice Operators

TL;DR

This paper introduces a non-perturbative approach to compute renormalization constants for lattice operators, aiming to improve accuracy in lattice QCD predictions, demonstrated through numerical simulations of two-fermion operators.

Contribution

The paper presents a novel non-perturbative method for calculating renormalization constants, reducing systematic errors in lattice QCD operator matrix element predictions.

Findings

Successful calculation of renormalization constants for two-fermion operators

Encouraging numerical simulation results at $eta=6.0$ on a $16^3 imes 32$ lattice

Potential applications to four-fermion operators and heavy quark effective theory

Abstract

We propose a non-perturbative method for computing the renormalization constants of generic composite operators. This method is intended to reduce some systematic errors, which are present when one tries to obtain physical predictions from the matrix elements of lattice operators. We also present the results of a calculation of the renormalization constants of several two-fermion operators, obtained, with our method, by numerical simulation of $QCD$, on a $16^3 \times 32$ lattice, at $\beta=6.0$. The results of this simulation are encouraging, and further applications to four-fermion operators and to the heavy quark effective theory are proposed.