Topological Susceptibility in SU(3) Gauge Theory

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 ${r}_{0}^{4}\ensuremath{\chi}=0.059(3)$, which corresponds to $\ensuremath{\chi}=(191\ifmmode\pm\else\textpm\fi{}5\text{ }\text{ }\mathrm{M}\mathrm{e}\mathrm{V}{)}^{4}$ if ${F}_{K}$ is used to set the scale. Our result supports the Witten-Veneziano explanation for the large mass of the ${\ensuremath{\eta}}^{\ensuremath{'}}$.