Towards a precise determination of the topological susceptibility in the SU(3) Yang-Mills theory

TL;DR

This paper reports on ongoing efforts to precisely compute the topological susceptibility in SU(3) Yang-Mills theory, addressing finite volume and discretization effects to achieve about 2% accuracy in the continuum limit.

Contribution

It introduces a method using Neuberger fermions for calculating topological susceptibility and estimates finite volume and discretization effects at high precision.

Findings

Achieved ~2% precision in topological susceptibility estimate.

Used large-scale computations on INFN-GRID PCs for high statistics.

Identified the need for larger lattice volumes for better continuum limit understanding.

Abstract

An ongoing effort to compute the topological susceptibility for the SU(3) Yang-Mills theory in the continuum limit with a precison of about 2% is reported. The susceptibility is computed by using the definition of the charge suggested by Neuberger fermions for two values of the negative mass parameter s. Finite volume and discretization effects are estimated to meet this level of precision. The large statistics required has been obtained by using PCs of the INFN-GRID. Simulations with larger lattice volumes are necessary in order to better understanding the continuum limit at small lattice spacing values.