Study of the systematic errors in the calculation of renormalization constants of the topological susceptibility on the lattice

TL;DR

This paper investigates systematic errors in calculating renormalization constants for topological susceptibility in lattice Yang-Mills theory, using configurations calibrated by Ginsparg-Wilson formalism and cooling techniques.

Contribution

It provides a detailed analysis of systematic effects in nonperturbative renormalization constant evaluation for topological susceptibility on the lattice.

Findings

Identification of key sources of systematic errors.

Comparison of calibration methods for renormalization constants.

Recommendations for reducing uncertainties in lattice calculations.

Abstract

We present a study of the systematic effects in the nonperturbative evaluation of the renormalization constants which appear in the field-theoretical determination of the topological susceptibility in pure Yang-Mills theory. The study is performed by computing the renormalization constants on configurations that have been calibrated by use of the Ginsparg-Wilson formalism and by cooling.