Topological susceptibility in the SU(3) gauge theory

TL;DR

This paper calculates the topological susceptibility in SU(3) gauge 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 that supports theoretical explanations.

Findings

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

Corresponds to chi=(191 +/- 5 MeV)^4 when scaled with F_K.

Results support the Witten-Veneziano explanation for eta' mass.

Abstract

We compute the topological susceptibility for the SU(3) Yang--Mills theory 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 +/- 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'.