Evidence for eta prime - pion splitting in unquenched lattice QCD

Details Evidence for eta prime - pion splitting in unquenched lattice QCD Evidence for eta prime - pion splitting in unquenched lattice QCD

1996-05-30

arxiv.org/abs/hep-lat/9605044v1

Nucl.Phys. B480 (1996) 381-396

Physics

High Energy Physics

High Energy Physics - Lattice

22 pages, uuencoded latex files, text + 8 figures

Scientific paper

10.1016/S0550-3213(96)00468-3

We perform an extrapolation from negative to positive flavour numbers of full QCD lattice estimates of the $\eta'$ mass. The extrapolations are carried out by keeping $\rho$ and $\pi$ masses at fixed values. We find an $\eta'$ -- $\pi$ splitting which shows a flavour dependence consistent with the Witten Veneziano formula based on the $U(1)$ anomaly. The quantitative splitting is consistent with the estimates made in the quenched approximation.

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