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'.
Del Debbio, L., Giusti, L., Pica, C. (2005). Topological susceptibility in the SU(3) gauge theory. PHYSICAL REVIEW LETTERS, 94(3), 032003 [10.1103/PhysRevLett.94.032003].
Topological susceptibility in the SU(3) gauge theory
GIUSTI, LEONARDO;
2005
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'.
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