Spectral sum from Euclidean lattice correlators and determination of renormalization constants

TL;DR

This paper introduces a novel lattice operator renormalization method using spectral sums from Euclidean correlators, aiding in QCD sum rule applications and testing perturbative QCD and OPE.

Contribution

It presents a new spectral sum technique for lattice operator renormalization, applicable to light quark systems and extendable to various current operators.

Findings

Determined the renormalization constant of the vector current.

Validated the spectral sum method for operator renormalization.

Discussed potential extensions to other operators.

Abstract

We propose a new method to renormalize lattice operators. The method is based on the technique to compute the spectral sum appearing in the Shifman-Vainshtein-Zakharov QCD sum rule from lattice correlators. The application of this technique to the light quark system is useful for operator renormalization as well as for the test of perturbative QCD and OPE. We determine the renormalization constant of the vector current and discuss extensions to other current operators.