Topological susceptibility in the SU(3) gauge theory

Luigi Del Debbio, Leonardo Giusti, Claudio Pica

Published 2004-07-07, updated 2005-01-21Version 2

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'.