Topological susceptibility for the SU(3) Yang--Mills theory

TL;DR

This paper computes the topological susceptibility in SU(3) Yang--Mills theory using Neuberger's fermions, providing results that support the Witten--Veneziano explanation for the eta' mass.

Contribution

It introduces a computation of topological susceptibility employing Neuberger's fermions, offering a precise continuum limit result.

Findings

Topological susceptibility in SU(3) Yang--Mills: 0.059(3) in r_0^4 units

Corresponds to (191 ± 5 MeV)^4 using F_K scale

Supports the Witten--Veneziano mechanism for eta' mass

Abstract

We present the results of a computation of the topological susceptibility in the SU(3) Yang--Mills theory performed by employing the expression of the topological charge density operator suggested by Neuberger's fermions. In the continuum limit we find r_0^4 chi = 0.059(3), which corresponds to chi=(191 \pm 5 MeV)^4 if F_K is used to set the scale. Our result supports the Witten--Veneziano explanation for the large mass of the eta'.