Analysis of short-distance current correlators using OPE

TL;DR

This paper tests the operator product expansion (OPE) predictions by comparing lattice and continuum calculations of short-distance flavor non-singlet current correlators, and also determines quark current renormalization factors.

Contribution

It provides a lattice-based validation of OPE predictions for short-distance correlators and computes quark current renormalization factors.

Findings

Lattice results agree with continuum OPE predictions at short distances.

Determined renormalization factors for quark currents.

Validated the use of OPE in non-perturbative lattice QCD calculations.

Abstract

We investigate the correlators of flavor non-singlet bilinear operators calculated on the lattice at short distances. In the continuum theory, non-perturbative effects are encoded in the form of the operator product expansion (OPE). We test the prediction of OPE by comparing lattice results with those in the continuum theory. We also determine the renormalization factors of quark currents.