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 ${\eta }^{\prime }$ mass. The extrapolations are carried out by keeping $\rho$ and $\pi$ masses at fixed values. We find an ${\eta }^{\prime }$ -- $\pi$ 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.

arXiv comment22 pages, uuencoded latex files, text + 8 figures

References in corpus (5)

• The bermions: an approach to lattice QCD dynamical fermions from negative flavour numbers
• Pseudofermion observables for static heavy meson decay constants on the lattice
• Light meson decay constants beyond the quenched approximation
• Smeared propagators for lattice hadron spectroscopy
• Dynamical flavour dependence of static heavy meson decay constants on the lattice

Cited by in corpus (1)

• Mixing of scalar glueballs and flavour-singlet scalar mesons