Evidence for eta prime - pion splitting in unquenched lattice QCD

Abstract

We perform an extrapolation from negative to positive flavour numbers of full QCD lattice estimates of the η' mass. The extrapolations are carried out by keeping and π masses at fixed values. We find an η' -- π 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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